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120426480 = 24335127439
BaseRepresentation
bin1110010110110…
…00111111110000
322101121022002000
413023120333300
5221312121410
615541054000
72661415416
oct713307760
9271538060
10120426480
1161a83219
12343b7300
131bc46095
1411dcb2b6
15a88bdc0
hex72d8ff0

120426480 has 160 divisors (see below), whose sum is σ = 419020800. Its totient is φ = 31788288.

The previous prime is 120426479. The next prime is 120426491. The reversal of 120426480 is 84624021.

120426480 is a `hidden beast` number, since 12 + 0 + 4 + 2 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274101 + ... + 274539.

It is an arithmetic number, because the mean of its divisors is an integer number (2618880).

Almost surely, 2120426480 is an apocalyptic number.

120426480 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 120426480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209510400).

120426480 is an abundant number, since it is smaller than the sum of its proper divisors (298594320).

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

120426480 is a wasteful number, since it uses less digits than its factorization.

120426480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 120426480 is about 10973.8999448692. The cubic root of 120426480 is about 493.8260518434.

The spelling of 120426480 in words is "one hundred twenty million, four hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 127 135 144 180 216 240 254 270 360 381 432 439 508 540 635 720 762 878 1016 1080 1143 1270 1317 1524 1756 1905 2032 2160 2195 2286 2540 2634 3048 3429 3512 3810 3951 4390 4572 5080 5268 5715 6096 6585 6858 7024 7620 7902 8780 9144 10160 10536 11430 11853 13170 13716 15240 15804 17145 17560 18288 19755 21072 22860 23706 26340 27432 30480 31608 34290 35120 39510 45720 47412 52680 54864 55753 59265 63216 68580 79020 91440 94824 105360 111506 118530 137160 158040 167259 189648 223012 237060 274320 278765 316080 334518 446024 474120 501777 557530 669036 836295 892048 948240 1003554 1115060 1338072 1505331 1672590 2007108 2230120 2508885 2676144 3010662 3345180 4014216 4460240 5017770 6021324 6690360 7526655 8028432 10035540 12042648 13380720 15053310 20071080 24085296 30106620 40142160 60213240 120426480