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203156928 = 26321322087
BaseRepresentation
bin11000001101111…
…10110111000000
3112011021102220200
430012332313000
5404002010203
632054205200
75014543152
oct1406766700
9464242820
10203156928
11a4749897
1258053800
1333121200
141cda4ad2
1512c7e9a3
hexc1bedc0

203156928 has 126 divisors (see below), whose sum is σ = 630853704. Its totient is φ = 62479872.

The previous prime is 203156917. The next prime is 203156929. The reversal of 203156928 is 829651302.

203156928 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 203156892 and 203156901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203156929) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96301 + ... + 98387.

Almost surely, 2203156928 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 203156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315426852).

203156928 is an abundant number, since it is smaller than the sum of its proper divisors (427696776).

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

203156928 is a wasteful number, since it uses less digits than its factorization.

203156928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 203156928 is about 14253.3128780645. The cubic root of 203156928 is about 587.8644696659.

The spelling of 203156928 in words is "two hundred three million, one hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1014 1248 1352 1521 1872 2028 2087 2496 2704 3042 3744 4056 4174 5408 6084 6261 7488 8112 8348 10816 12168 12522 16224 16696 18783 24336 25044 27131 32448 33392 37566 48672 50088 54262 66784 75132 81393 97344 100176 108524 133568 150264 162786 200352 217048 244179 300528 325572 352703 400704 434096 488358 601056 651144 705406 868192 976716 1058109 1202112 1302288 1410812 1736384 1953432 2116218 2604576 2821624 3174327 3906864 4232436 5209152 5643248 6348654 7813728 8464872 11286496 12697308 15627456 16929744 22572992 25394616 33859488 50789232 67718976 101578464 203156928