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10306872 = 233347717
BaseRepresentation
bin100111010100…
…010100111000
3201101122101000
4213110110320
510114304442
61004525000
7153415122
oct47242470
921348330
1010306872
1158aa784
123550760
13219b454
141524212
15d88d4c
hex9d4538

10306872 has 32 divisors (see below), whose sum is σ = 28630800. Its totient is φ = 3435552.

The previous prime is 10306871. The next prime is 10306883. The reversal of 10306872 is 27860301.

It is a super-2 number, since 2×103068722 = 212463220848768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10306871) 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, 23643 + ... + 24074.

Almost surely, 210306872 is an apocalyptic number.

10306872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10306872 is an abundant number, since it is smaller than the sum of its proper divisors (18323928).

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

10306872 is a wasteful number, since it uses less digits than its factorization.

10306872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47732 (or 47722 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10306872 is about 3210.4317466659. The cubic root of 10306872 is about 217.6250885685.

The spelling of 10306872 in words is "ten million, three hundred six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 47717 95434 143151 190868 286302 381736 429453 572604 858906 1145208 1288359 1717812 2576718 3435624 5153436 10306872