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10029852 = 2233713267
BaseRepresentation
bin100110010000…
…101100011100
3200212120101000
4212100230130
510031423402
6554550300
7151152360
oct46205434
920776330
1010029852
115730638
123438390
132102331
1414912a0
15d31c1c
hex990b1c

10029852 has 48 divisors (see below), whose sum is σ = 29720320. Its totient is φ = 2865456.

The previous prime is 10029839. The next prime is 10029857. The reversal of 10029852 is 25892001.

It is a super-2 number, since 2×100298522 = 201195862283808, 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 (10029857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5878 + ... + 7389.

Almost surely, 210029852 is an apocalyptic number.

10029852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10029852 is an abundant number, since it is smaller than the sum of its proper divisors (19690468).

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

10029852 is a wasteful number, since it uses less digits than its factorization.

10029852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13287 (or 13279 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10029852 is about 3166.9941585042. The cubic root of 10029852 is about 215.6576366478.

The spelling of 10029852 in words is "ten million, twenty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 13267 26534 39801 53068 79602 92869 119403 159204 185738 238806 278607 358209 371476 477612 557214 716418 835821 1114428 1432836 1671642 2507463 3343284 5014926 10029852