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20374272 = 283237239
BaseRepresentation
bin100110110111…
…0001100000000
31102100010020200
41031232030000
520203434042
62004405200
7335115132
oct115561400
942303220
1020374272
1110556546
1269a6800
1342b48a9
1429c5052
151bc6c4c
hex136e300

20374272 has 108 divisors (see below), whose sum is σ = 60584160. Its totient is φ = 6580224.

The previous prime is 20374267. The next prime is 20374301. The reversal of 20374272 is 27247302.

20374272 is a `hidden beast` number, since 20 + 374 + 272 = 666.

It is a super-2 number, since 2×203742722 = 830221919059968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85129 + ... + 85367.

Almost surely, 220374272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30292080).

20374272 is an abundant number, since it is smaller than the sum of its proper divisors (40209888).

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

20374272 is a wasteful number, since it uses less digits than its factorization.

20374272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20374272 is about 4513.7868802149. The cubic root of 20374272 is about 273.1245255679.

The spelling of 20374272 in words is "twenty million, three hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 239 256 288 296 333 384 444 478 576 592 666 717 768 888 956 1152 1184 1332 1434 1776 1912 2151 2304 2368 2664 2868 3552 3824 4302 4736 5328 5736 7104 7648 8604 8843 9472 10656 11472 14208 15296 17208 17686 21312 22944 26529 28416 30592 34416 35372 42624 45888 53058 61184 68832 70744 79587 85248 91776 106116 137664 141488 159174 183552 212232 275328 282976 318348 424464 550656 565952 636696 848928 1131904 1273392 1697856 2263808 2546784 3395712 5093568 6791424 10187136 20374272