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1542480480 = 253259071181
BaseRepresentation
bin101101111110000…
…0110001001100000
310222111110010102200
41123330012021200
511124333333410
6413020413200
753136603432
oct13374061140
93874403380
101542480480
11721765462
123706a7200
131b7746b58
14108c00652
159063b3c0
hex5bf06260

1542480480 has 144 divisors (see below), whose sum is σ = 5273979984. Its totient is φ = 410526720.

The previous prime is 1542480479. The next prime is 1542480481. The reversal of 1542480480 is 840842451.

1542480480 is a `hidden beast` number, since 154 + 24 + 8 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1542480479) and next prime (1542480481).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542480481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1305490 + ... + 1306670.

It is an arithmetic number, because the mean of its divisors is an integer number (36624861).

Almost surely, 21542480480 is an apocalyptic number.

1542480480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1542480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636989992).

1542480480 is an abundant number, since it is smaller than the sum of its proper divisors (3731499504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1542480480 is a wasteful number, since it uses less digits than its factorization.

1542480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 1542480480 is about 39274.4252663231. The cubic root of 1542480480 is about 1155.4200305119.

The spelling of 1542480480 in words is "one billion, five hundred forty-two million, four hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 907 1181 1440 1814 2362 2721 3543 3628 4535 4724 5442 5905 7086 7256 8163 9070 9448 10629 10884 11810 13605 14172 14512 16326 17715 18140 18896 21258 21768 23620 27210 28344 29024 32652 35430 36280 37792 40815 42516 43536 47240 53145 54420 56688 65304 70860 72560 81630 85032 87072 94480 106290 108840 113376 130608 141720 145120 163260 170064 188960 212580 217680 261216 283440 326520 340128 425160 435360 566880 653040 850320 1071167 1306080 1700640 2142334 3213501 4284668 5355835 6427002 8569336 9640503 10711670 12854004 16067505 17138672 19281006 21423340 25708008 32135010 34277344 38562012 42846680 48202515 51416016 64270020 77124024 85693360 96405030 102832032 128540040 154248048 171386720 192810060 257080080 308496096 385620120 514160160 771240240 1542480480