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11900928 = 211313149
BaseRepresentation
bin101101011001…
…100000000000
3211101122000010
4231121200000
511021312203
61103024520
7203104404
oct55314000
924348003
1011900928
116799386
123b9b140
132608b90
14181b104
1510a1303
hexb59800

11900928 has 96 divisors (see below), whose sum is σ = 34398000. Its totient is φ = 3637248.

The previous prime is 11900927. The next prime is 11900951. The reversal of 11900928 is 82900911.

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

It is a super-2 number, since 2×119009282 = 283264174522368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11900895 and 11900904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11900927) 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, 79798 + ... + 79946.

Almost surely, 211900928 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 11900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199000).

11900928 is an abundant number, since it is smaller than the sum of its proper divisors (22497072).

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

11900928 is a wasteful number, since it uses less digits than its factorization.

11900928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 11900928 is about 3449.7721663901. The cubic root of 11900928 is about 228.3110558951.

The spelling of 11900928 in words is "eleven million, nine hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 149 156 192 208 256 298 312 384 416 447 512 596 624 768 832 894 1024 1192 1248 1536 1664 1788 1937 2048 2384 2496 3072 3328 3576 3874 4768 4992 5811 6144 6656 7152 7748 9536 9984 11622 13312 14304 15496 19072 19968 23244 26624 28608 30992 38144 39936 46488 57216 61984 76288 79872 92976 114432 123968 152576 185952 228864 247936 305152 371904 457728 495872 743808 915456 991744 1487616 1983488 2975232 3966976 5950464 11900928