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20238976 = 271771131
BaseRepresentation
bin100110100110…
…1001010000000
31102002020122201
41031031022000
520140121401
62001442544
7334012522
oct115151200
942066581
1020238976
111047392a
126940454
134268134
14298ba12
151b9bb01
hex134d280

20238976 has 64 divisors (see below), whose sum is σ = 43623360. Its totient is φ = 9318400.

The previous prime is 20238973. The next prime is 20238989. The reversal of 20238976 is 67983202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×202389762 = 819232299057152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20238973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154431 + ... + 154561.

It is an arithmetic number, because the mean of its divisors is an integer number (681615).

Almost surely, 220238976 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 20238976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21811680).

20238976 is an abundant number, since it is smaller than the sum of its proper divisors (23384384).

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

20238976 is a wasteful number, since it uses less digits than its factorization.

20238976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 20238976 is about 4498.7749443599. The cubic root of 20238976 is about 272.5186183727.

The spelling of 20238976 in words is "twenty million, two hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 128 131 136 142 262 272 284 524 544 568 1048 1088 1136 1207 2096 2176 2227 2272 2414 4192 4454 4544 4828 8384 8908 9088 9301 9656 16768 17816 18602 19312 35632 37204 38624 71264 74408 77248 142528 148816 154496 158117 285056 297632 316234 595264 632468 1190528 1264936 2529872 5059744 10119488 20238976