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20064352 = 2571117479
BaseRepresentation
bin100110010001…
…0100001100000
31101202101010011
41030202201200
520114024402
61554014304
7332354440
oct114424140
941671104
1020064352
1110364710
126877394
1342067c9
142944120
151b64ed7
hex1322860

20064352 has 96 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 7342080.

The previous prime is 20064311. The next prime is 20064371. The reversal of 20064352 is 25346002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41649 + ... + 42127.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 220064352 is an apocalyptic number.

20064352 is a gapful number since it is divisible by the number (22) 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 20064352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

20064352 is an abundant number, since it is smaller than the sum of its proper divisors (32190368).

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

20064352 is a wasteful number, since it uses less digits than its factorization.

20064352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 20064352 is about 4479.3249491413. The cubic root of 20064352 is about 271.7325803069.

The spelling of 20064352 in words is "twenty million, sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 476 479 544 616 748 952 958 1232 1309 1496 1904 1916 2464 2618 2992 3353 3808 3832 5236 5269 5984 6706 7664 8143 10472 10538 13412 15328 16286 20944 21076 26824 32572 36883 41888 42152 53648 57001 65144 73766 84304 89573 107296 114002 130288 147532 168608 179146 228004 260576 295064 358292 456008 590128 627011 716584 912016 1180256 1254022 1433168 1824032 2508044 2866336 5016088 10032176 20064352