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20752368 = 2437134751
BaseRepresentation
bin100111100101…
…0011111110000
31110001022220020
41033022133300
520303033433
62020443440
7341251350
oct117123760
943038806
1020752368
111079461a
126b49580
1343b7a10
142a82b60
151c4dcb3
hex13ca7f0

20752368 has 80 divisors (see below), whose sum is σ = 65995776. Its totient is φ = 5472000.

The previous prime is 20752363. The next prime is 20752399. The reversal of 20752368 is 86325702.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20752363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1993 + ... + 6743.

Almost surely, 220752368 is an apocalyptic number.

20752368 is a gapful number since it is divisible by the number (28) 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 20752368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32997888).

20752368 is an abundant number, since it is smaller than the sum of its proper divisors (45243408).

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

20752368 is a wasteful number, since it uses less digits than its factorization.

20752368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 20752368 is about 4555.4767039246. The cubic root of 20752368 is about 274.8036857859.

The spelling of 20752368 in words is "twenty million, seven hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 4751 9502 14253 19004 28506 33257 38008 57012 61763 66514 76016 99771 114024 123526 133028 185289 199542 228048 247052 266056 370578 399084 432341 494104 532112 741156 798168 864682 988208 1297023 1482312 1596336 1729364 2594046 2964624 3458728 5188092 6917456 10376184 20752368