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13806975 = 3527213172
BaseRepresentation
bin110100101010…
…110101111111
3221222110121110
4310222311333
512013310400
61211533103
7225233400
oct64526577
927873543
1013806975
117880426
12475a193
132b25610
141b959a7
15132ae50
hexd2ad7f

13806975 has 108 divisors (see below), whose sum is σ = 30378264. Its totient is φ = 5483520.

The previous prime is 13806973. The next prime is 13806979. The reversal of 13806975 is 57960831.

It is not a de Polignac number, because 13806975 - 21 = 13806973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13806971) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 812167 + ... + 812183.

Almost surely, 213806975 is an apocalyptic number.

13806975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13806975 is an abundant number, since it is smaller than the sum of its proper divisors (16571289).

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

13806975 is a wasteful number, since it uses less digits than its factorization.

13806975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 13806975 is about 3715.7738090470. The cubic root of 13806975 is about 239.9014352208.

Multiplying 13806975 by its sum of digits (39), we get a square (538472025 = 232052).

13806975 divided by its sum of digits (39) gives a square (354025 = 5952).

The spelling of 13806975 in words is "thirteen million, eight hundred six thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 13 15 17 21 25 35 39 49 51 65 75 85 91 105 119 147 175 195 221 245 255 273 289 325 357 425 455 525 595 637 663 735 833 867 975 1105 1225 1275 1365 1445 1547 1785 1911 2023 2275 2499 2975 3185 3315 3675 3757 4165 4335 4641 5525 6069 6825 7225 7735 8925 9555 10115 10829 11271 12495 14161 15925 16575 18785 20825 21675 23205 26299 30345 32487 38675 42483 47775 50575 54145 56355 62475 70805 78897 93925 116025 131495 151725 162435 184093 212415 270725 281775 354025 394485 552279 657475 812175 920465 1062075 1972425 2761395 4602325 13806975