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13029240 = 2335715511
BaseRepresentation
bin110001101100…
…111101111000
3220111221202110
4301230331320
511313413430
61143132320
7215514060
oct61547570
926457673
1013029240
11739a074
1244440a0
132912613
141a323a0
1512257b0
hexc6cf78

13029240 has 64 divisors (see below), whose sum is σ = 44674560. Its totient is φ = 2977920.

The previous prime is 13029227. The next prime is 13029241. The reversal of 13029240 is 4292031.

It is a super-2 number, since 2×130292402 = 339522189955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13029241) 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, 6916 + ... + 8595.

It is an arithmetic number, because the mean of its divisors is an integer number (698040).

Almost surely, 213029240 is an apocalyptic number.

13029240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13029240 is an abundant number, since it is smaller than the sum of its proper divisors (31645320).

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

13029240 is a wasteful number, since it uses less digits than its factorization.

13029240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15532 (or 15528 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13029240 is about 3609.6038563809. The cubic root of 13029240 is about 235.3096265758.

The spelling of 13029240 in words is "thirteen million, twenty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 15511 31022 46533 62044 77555 93066 108577 124088 155110 186132 217154 232665 310220 325731 372264 434308 465330 542885 620440 651462 868616 930660 1085770 1302924 1628655 1861320 2171540 2605848 3257310 4343080 6514620 13029240