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137001810 = 235111724421
BaseRepresentation
bin10000010101001…
…11101101010010
3100112210102011010
420022213231102
5240033024220
621332231350
73252332121
oct1012475522
9315712133
10137001810
1170374540
1239a6b556
13224ca77a
14142a3ab8
15c0631e0
hex82a7b52

137001810 has 64 divisors (see below), whose sum is σ = 379810944. Its totient is φ = 31257600.

The previous prime is 137001797. The next prime is 137001853. The reversal of 137001810 is 18100731.

It is a super-2 number, since 2×1370018102 = 37538991886552200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6601 + ... + 17820.

It is an arithmetic number, because the mean of its divisors is an integer number (5934546).

Almost surely, 2137001810 is an apocalyptic number.

137001810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137001810 is an abundant number, since it is smaller than the sum of its proper divisors (242809134).

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

137001810 is a wasteful number, since it uses less digits than its factorization.

137001810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24459.

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 137001810 is about 11704.7772298323. Note that the first 3 decimals coincide. The cubic root of 137001810 is about 515.5159438046.

The spelling of 137001810 in words is "one hundred thirty-seven million, one thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 5610 24421 48842 73263 122105 146526 244210 268631 366315 415157 537262 732630 805893 830314 1245471 1343155 1611786 2075785 2490942 2686310 4029465 4151570 4566727 6227355 8058930 9133454 12454710 13700181 22833635 27400362 45667270 68500905 137001810