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10312952 = 2313531871
BaseRepresentation
bin100111010101…
…110011111000
3201101221201012
4213111303320
510120003302
61005013052
7153441626
oct47256370
921357635
1010312952
115904301
123554188
1321a1150
141526516
15d8aa52
hex9d5cf8

10312952 has 32 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 4667520.

The previous prime is 10312927. The next prime is 10312957. The reversal of 10312952 is 25921301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4577 + ... + 6447.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 210312952 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 10312952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

10312952 is an abundant number, since it is smaller than the sum of its proper divisors (10915528).

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

10312952 is a wasteful number, since it uses less digits than its factorization.

10312952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 10312952 is about 3211.3785201997. The cubic root of 10312952 is about 217.6678723360.

The spelling of 10312952 in words is "ten million, three hundred twelve thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 1871 2756 3742 5512 7484 14968 24323 48646 97292 99163 194584 198326 396652 793304 1289119 2578238 5156476 10312952