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10747072 = 267223149
BaseRepresentation
bin101000111111…
…110011000000
3202020000012201
4220333303000
510222401242
61022202544
7160230400
oct50776300
922200181
1010747072
116080486
123723454
1322c391b
1415da800
15e244b7
hexa3fcc0

10747072 has 84 divisors (see below), whose sum is σ = 26060400. Its totient is φ = 4376064.

The previous prime is 10747069. The next prime is 10747097. The reversal of 10747072 is 27074701.

10747072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10747072.

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, 72054 + ... + 72202.

Almost surely, 210747072 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 10747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030200).

10747072 is an abundant number, since it is smaller than the sum of its proper divisors (15313328).

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

10747072 is a wasteful number, since it uses less digits than its factorization.

10747072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 10747072 is about 3278.2727159283. The cubic root of 10747072 is about 220.6802087731.

The spelling of 10747072 in words is "ten million, seven hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 149 161 184 196 224 298 322 368 392 448 596 644 736 784 1043 1127 1192 1288 1472 1568 2086 2254 2384 2576 3136 3427 4172 4508 4768 5152 6854 7301 8344 9016 9536 10304 13708 14602 16688 18032 23989 27416 29204 33376 36064 47978 54832 58408 66752 72128 95956 109664 116816 167923 191912 219328 233632 335846 383824 467264 671692 767648 1343384 1535296 2686768 5373536 10747072