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10750752 = 253323541
BaseRepresentation
bin101001000000…
…101100100000
3202020012021000
4221000230200
510223011002
61022232000
7160244205
oct51005440
922205230
1010750752
116083221
123725600
1322c54bc
1415dbcac
15e2561c
hexa40b20

10750752 has 96 divisors (see below), whose sum is σ = 32780160. Its totient is φ = 3421440.

The previous prime is 10750723. The next prime is 10750759. The reversal of 10750752 is 25705701.

10750752 is a `hidden beast` number, since 107 + 507 + 52 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10750759) 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 15 ways as a sum of consecutive naturals, for example, 19602 + ... + 20142.

It is an arithmetic number, because the mean of its divisors is an integer number (341460).

Almost surely, 210750752 is an apocalyptic number.

10750752 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 10750752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390080).

10750752 is an abundant number, since it is smaller than the sum of its proper divisors (22029408).

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

10750752 is a wasteful number, since it uses less digits than its factorization.

10750752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 10750752 is about 3278.8339390704. The cubic root of 10750752 is about 220.7053942529.

The spelling of 10750752 in words is "ten million, seven hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 541 552 621 736 828 864 1082 1104 1242 1623 1656 2164 2208 2484 3246 3312 4328 4869 4968 6492 6624 8656 9738 9936 12443 12984 14607 17312 19476 19872 24886 25968 29214 37329 38952 49772 51936 58428 74658 77904 99544 111987 116856 149316 155808 199088 223974 233712 298632 335961 398176 447948 467424 597264 671922 895896 1194528 1343844 1791792 2687688 3583584 5375376 10750752