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138780712 = 237192353107
BaseRepresentation
bin10000100010110…
…10000000101000
3100200010210100101
420101122000220
5241011440322
621434315144
73303421330
oct1021320050
9320123311
10138780712
117137a004
123a588ab4
13229a1385
14146080c0
15c2b5327
hex845a028

138780712 has 128 divisors (see below), whose sum is σ = 335923200. Its totient is φ = 52386048.

The previous prime is 138780709. The next prime is 138780721. The reversal of 138780712 is 217087831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1296963 + ... + 1297069.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2138780712 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 138780712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

138780712 is an abundant number, since it is smaller than the sum of its proper divisors (197142488).

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

138780712 is a wasteful number, since it uses less digits than its factorization.

138780712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 138780712 is about 11780.5225690544. The cubic root of 138780712 is about 517.7375971052.

The spelling of 138780712 in words is "one hundred thirty-eight million, seven hundred eighty thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 53 56 76 92 106 107 133 152 161 184 212 214 266 322 371 424 428 437 532 644 742 749 856 874 1007 1064 1219 1288 1484 1498 1748 2014 2033 2438 2461 2968 2996 3059 3496 4028 4066 4876 4922 5671 5992 6118 7049 8056 8132 8533 9752 9844 11342 12236 14098 14231 16264 17066 17227 19688 22684 23161 24472 28196 28462 34132 34454 39697 45368 46322 46759 56392 56924 68264 68908 79394 92644 93518 107749 113848 130433 137816 158788 162127 185288 187036 215498 260866 317576 324254 327313 374072 430996 521732 648508 654626 754243 861992 913031 1043464 1297016 1309252 1508486 1826062 2478227 2618504 3016972 3652124 4956454 6033944 7304248 9912908 17347589 19825816 34695178 69390356 138780712