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138034740 = 22356734337
BaseRepresentation
bin10000011101000…
…11111000110100
3100121201220001210
420032203320310
5240314102430
621410321420
73264163434
oct1016437064
9317656053
10138034740
1170a0a5a8
123a289270
132279c97c
14144922c4
15c1b92b0
hex83a3e34

138034740 has 48 divisors (see below), whose sum is σ = 392277312. Its totient is φ = 36258816.

The previous prime is 138034733. The next prime is 138034777. The reversal of 138034740 is 47430831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 138034698 and 138034707.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 13149 + ... + 21188.

It is an arithmetic number, because the mean of its divisors is an integer number (8172444).

Almost surely, 2138034740 is an apocalyptic number.

138034740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138034740 is an abundant number, since it is smaller than the sum of its proper divisors (254242572).

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

138034740 is a wasteful number, since it uses less digits than its factorization.

138034740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34416 (or 34414 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 138034740 is about 11748.8186640189. The cubic root of 138034740 is about 516.8082849158.

The spelling of 138034740 in words is "one hundred thirty-eight million, thirty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 34337 68674 103011 137348 171685 206022 343370 412044 515055 686740 1030110 2060220 2300579 4601158 6901737 9202316 11502895 13803474 23005790 27606948 34508685 46011580 69017370 138034740