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10861152 = 253234919
BaseRepresentation
bin101001011011…
…101001100000
3202102210200220
4221123221200
510240024102
61024443040
7161214111
oct51335140
922383626
1010861152
116149165
123779480
132333823
14162a208
15e481bc
hexa5ba60

10861152 has 48 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 3462272.

The previous prime is 10861139. The next prime is 10861163. The reversal of 10861152 is 25116801.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 252 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 210861152 is an apocalyptic number.

10861152 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 10861152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878080).

10861152 is an abundant number, since it is smaller than the sum of its proper divisors (18895008).

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

10861152 is a wasteful number, since it uses less digits than its factorization.

10861152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 10861152 is about 3295.6261923950. The cubic root of 10861152 is about 221.4583010674.

Adding to 10861152 its reverse (25116801), we get a palindrome (35977953).

The spelling of 10861152 in words is "ten million, eight hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 4919 9838 14757 19676 29514 39352 59028 78704 113137 118056 157408 226274 236112 339411 452548 472224 678822 905096 1357644 1810192 2715288 3620384 5430576 10861152