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10672452 = 2233719743
BaseRepresentation
bin101000101101…
…100101000100
3202002012212000
4220231211010
510213004302
61020425300
7156500010
oct50554504
922065760
1010672452
11602a40a
1236a8230
13229897b
1415bb540
15e0c31c
hexa2d944

10672452 has 96 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 2884896.

The previous prime is 10672429. The next prime is 10672457. The reversal of 10672452 is 25427601.

It is a super-2 number, since 2×106724522 = 227802463384608, 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 (10672457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13993 + ... + 14735.

It is an arithmetic number, because the mean of its divisors is an integer number (347200).

Almost surely, 210672452 is an apocalyptic number.

10672452 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 10672452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

10672452 is an abundant number, since it is smaller than the sum of its proper divisors (22658748).

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

10672452 is a wasteful number, since it uses less digits than its factorization.

10672452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10672452 is about 3266.8718983150. The cubic root of 10672452 is about 220.1682734621.

The spelling of 10672452 in words is "ten million, six hundred seventy-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 743 756 798 1026 1197 1486 1596 2052 2229 2394 2972 3591 4458 4788 5201 6687 7182 8916 10402 13374 14117 14364 15603 20061 20804 26748 28234 31206 40122 42351 46809 56468 62412 80244 84702 93618 98819 127053 140427 169404 187236 197638 254106 280854 296457 381159 395276 508212 561708 592914 762318 889371 1185828 1524636 1778742 2668113 3557484 5336226 10672452