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138349736 = 2373127397
BaseRepresentation
bin10000011111100…
…00110010101000
3100122022220011022
420033300302220
5240404142421
621421152012
73266645000
oct1017606250
9318286138
10138349736
1171105228
123a3bb608
1322880165
1414535000
15c22c7ab
hex83f0ca8

138349736 has 64 divisors (see below), whose sum is σ = 305664000. Its totient is φ = 58677696.

The previous prime is 138349711. The next prime is 138349741. The reversal of 138349736 is 637943831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348290 + ... + 348686.

It is an arithmetic number, because the mean of its divisors is an integer number (4776000).

Almost surely, 2138349736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138349736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152832000).

138349736 is an abundant number, since it is smaller than the sum of its proper divisors (167314264).

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

138349736 is a wasteful number, since it uses less digits than its factorization.

138349736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 533 counting only the distinct ones).

The product of its digits is 326592, while the sum is 44.

The square root of 138349736 is about 11762.2164577940. The cubic root of 138349736 is about 517.2011059986.

The spelling of 138349736 in words is "one hundred thirty-eight million, three hundred forty-nine thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 127 196 254 343 392 397 508 686 794 889 1016 1372 1588 1778 2744 2779 3176 3556 5558 6223 7112 11116 12446 19453 22232 24892 38906 43561 49784 50419 77812 87122 100838 136171 155624 174244 201676 272342 348488 352933 403352 544684 705866 1089368 1411732 2470531 2823464 4941062 9882124 17293717 19764248 34587434 69174868 138349736