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10291372 = 227313577
BaseRepresentation
bin100111010000…
…100010101100
3201100212002221
4213100202230
510113310442
61004325124
7153322000
oct47204254
921325087
1010291372
11589a073
1235437a4
132194390
14151c700
15d84467
hex9d08ac

10291372 has 48 divisors (see below), whose sum is σ = 22657600. Its totient is φ = 4064256.

The previous prime is 10291361. The next prime is 10291399. The reversal of 10291372 is 27319201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17548 + ... + 18124.

Almost surely, 210291372 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 10291372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328800).

10291372 is an abundant number, since it is smaller than the sum of its proper divisors (12366228).

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

10291372 is a wasteful number, since it uses less digits than its factorization.

10291372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 10291372 is about 3208.0168328735. The cubic root of 10291372 is about 217.5159419327.

It can be divided in two parts, 1029 and 1372, that added together give a 4-th power (2401 = 74).

The spelling of 10291372 in words is "ten million, two hundred ninety-one thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 577 637 686 1154 1274 1372 2308 2548 4039 4459 7501 8078 8918 15002 16156 17836 28273 30004 52507 56546 105014 113092 197911 210028 367549 395822 735098 791644 1470196 2572843 5145686 10291372