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10745952 = 253715991
BaseRepresentation
bin101000111111…
…100001100000
3202012221200020
4220333201200
510222332302
61022153440
7160224210
oct50774140
922187606
1010745952
11607a658
123722880
1322c3269
1415da240
15e23ebc
hexa3f860

10745952 has 48 divisors (see below), whose sum is σ = 32239872. Its totient is φ = 3070080.

The previous prime is 10745897. The next prime is 10745957. The reversal of 10745952 is 25954701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10745957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7324 + ... + 8667.

It is an arithmetic number, because the mean of its divisors is an integer number (671664).

Almost surely, 210745952 is an apocalyptic number.

10745952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10745952 is an abundant number, since it is smaller than the sum of its proper divisors (21493920).

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

10745952 is a wasteful number, since it uses less digits than its factorization.

10745952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16011 (or 16003 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 10745952 is about 3278.1018898137. The cubic root of 10745952 is about 220.6725424859.

The spelling of 10745952 in words is "ten million, seven hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 15991 31982 47973 63964 95946 111937 127928 191892 223874 255856 335811 383784 447748 511712 671622 767568 895496 1343244 1535136 1790992 2686488 3581984 5372976 10745952