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20142480 = 2435234189
BaseRepresentation
bin100110011010…
…1100110010000
31101220100021210
41030311212100
520124024410
61555420120
7333131301
oct114654620
941810253
1020142480
1110408386
1268b4640
134233237
1429647a8
151b7d220
hex1335990

20142480 has 160 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 4956160.

The previous prime is 20142427. The next prime is 20142481. The reversal of 20142480 is 8424102.

It is not an unprimeable number, because it can be changed into a prime (20142481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226276 + ... + 226364.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 220142480 is an apocalyptic number.

20142480 is a gapful number since it is divisible by the number (20) 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 20142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

20142480 is an abundant number, since it is smaller than the sum of its proper divisors (47353200).

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

20142480 is a wasteful number, since it uses less digits than its factorization.

20142480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 20142480 is about 4488.0374329990. The cubic root of 20142480 is about 272.0848207208.

Adding to 20142480 its reverse (8424102), we get a palindrome (28566582).

The spelling of 20142480 in words is "twenty million, one hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 41 46 48 60 69 80 82 89 92 115 120 123 138 164 178 184 205 230 240 246 267 276 328 345 356 368 410 445 460 492 534 552 615 656 690 712 820 890 920 943 984 1068 1104 1230 1335 1380 1424 1640 1780 1840 1886 1968 2047 2136 2460 2670 2760 2829 3280 3560 3649 3772 4094 4272 4715 4920 5340 5520 5658 6141 7120 7298 7544 8188 9430 9840 10235 10680 10947 11316 12282 14145 14596 15088 16376 18245 18860 20470 21360 21894 22632 24564 28290 29192 30705 32752 36490 37720 40940 43788 45264 49128 54735 56580 58384 61410 72980 75440 81880 83927 87576 98256 109470 113160 122820 145960 163760 167854 175152 218940 226320 245640 251781 291920 335708 419635 437880 491280 503562 671416 839270 875760 1007124 1258905 1342832 1678540 2014248 2517810 3357080 4028496 5035620 6714160 10071240 20142480