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10708992 = 21132783
BaseRepresentation
bin101000110110…
…100000000000
3202011001222100
4220312200000
510220141432
61021310400
7160011360
oct50664000
922131870
1010708992
116054908
123705400
1322ac4a8
1415ca9a0
15e1807c
hexa36800

10708992 has 144 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 3022848.

The previous prime is 10708979. The next prime is 10708993. The reversal of 10708992 is 29980701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×107089922 = 229365019312128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10708993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128983 + ... + 129065.

It is an arithmetic number, because the mean of its divisors is an integer number (248430).

Almost surely, 210708992 is an apocalyptic number.

10708992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10708992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

10708992 is an abundant number, since it is smaller than the sum of its proper divisors (25064928).

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

10708992 is an equidigital number, since it uses as much as digits as its factorization.

10708992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10708992 is about 3272.4596254194. The cubic root of 10708992 is about 220.4192556104.

The spelling of 10708992 in words is "ten million, seven hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 83 84 96 112 126 128 144 166 168 192 224 249 252 256 288 332 336 384 448 498 504 512 576 581 664 672 747 768 896 996 1008 1024 1152 1162 1328 1344 1494 1536 1743 1792 1992 2016 2048 2304 2324 2656 2688 2988 3072 3486 3584 3984 4032 4608 4648 5229 5312 5376 5976 6144 6972 7168 7968 8064 9216 9296 10458 10624 10752 11952 13944 14336 15936 16128 18432 18592 20916 21248 21504 23904 27888 31872 32256 37184 41832 42496 43008 47808 55776 63744 64512 74368 83664 84992 95616 111552 127488 129024 148736 167328 169984 191232 223104 254976 297472 334656 382464 446208 509952 594944 669312 764928 892416 1189888 1338624 1529856 1784832 2677248 3569664 5354496 10708992