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20156256 = 253341569
BaseRepresentation
bin100110011100…
…0111101100000
31101221001012000
41030320331200
520130000011
62000004000
7333216411
oct114707540
941831160
1020156256
111041776a
126900600
1342395a3
142969808
151b82356
hex1338f60

20156256 has 96 divisors (see below), whose sum is σ = 60328800. Its totient is φ = 6543360.

The previous prime is 20156243. The next prime is 20156281. The reversal of 20156256 is 65265102.

20156256 is a `hidden beast` number, since 20 + 15 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 35140 + ... + 35708.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 220156256 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 20156256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30164400).

20156256 is an abundant number, since it is smaller than the sum of its proper divisors (40172544).

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

20156256 is a wasteful number, since it uses less digits than its factorization.

20156256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 20156256 is about 4489.5719172322. The cubic root of 20156256 is about 272.1468353669.

The spelling of 20156256 in words is "twenty million, one hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 569 656 738 864 984 1107 1138 1312 1476 1707 1968 2214 2276 2952 3414 3936 4428 4552 5121 5904 6828 8856 9104 10242 11808 13656 15363 17712 18208 20484 23329 27312 30726 35424 40968 46658 54624 61452 69987 81936 93316 122904 139974 163872 186632 209961 245808 279948 373264 419922 491616 559896 629883 746528 839844 1119792 1259766 1679688 2239584 2519532 3359376 5039064 6718752 10078128 20156256