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10894144 = 261721931
BaseRepresentation
bin101001100011…
…101101000000
3202111110221211
4221203231000
510242103034
61025255504
7161412232
oct51435500
922443854
1010894144
116170a28
123794594
132345851
141638252
15e52d64
hexa63b40

10894144 has 84 divisors (see below), whose sum is σ = 24952960. Its totient is φ = 4700160.

The previous prime is 10894139. The next prime is 10894159. The reversal of 10894144 is 44149801.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351409 + ... + 351439.

Almost surely, 210894144 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 10894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476480).

10894144 is an abundant number, since it is smaller than the sum of its proper divisors (14058816).

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

10894144 is a wasteful number, since it uses less digits than its factorization.

10894144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 10894144 is about 3300.6278190672. The cubic root of 10894144 is about 221.6823094343.

The spelling of 10894144 in words is "ten million, eight hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 31 32 34 38 62 64 68 76 124 136 152 248 272 289 304 323 496 527 544 578 589 608 646 992 1054 1088 1156 1178 1216 1292 1984 2108 2312 2356 2584 4216 4624 4712 5168 5491 8432 8959 9248 9424 10013 10336 10982 16864 17918 18496 18848 20026 20672 21964 33728 35836 37696 40052 43928 71672 80104 87856 143344 160208 170221 175712 286688 320416 340442 351424 573376 640832 680884 1361768 2723536 5447072 10894144