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138799872 = 283343467
BaseRepresentation
bin10000100010111…
…10101100000000
3100200011202122000
420101132230000
5241013043442
621434544000
73303531231
oct1021365400
9320152560
10138799872
1171392442
123a598000
13229aa003
1414611088
15c2bad4c
hex845eb00

138799872 has 144 divisors (see below), whose sum is σ = 420900480. Its totient is φ = 45093888.

The previous prime is 138799847. The next prime is 138799873. The reversal of 138799872 is 278997831.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (138799873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296983 + ... + 297449.

It is an arithmetic number, because the mean of its divisors is an integer number (2922920).

Almost surely, 2138799872 is an apocalyptic number.

138799872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138799872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210450240).

138799872 is an abundant number, since it is smaller than the sum of its proper divisors (282100608).

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

138799872 is an equidigital number, since it uses as much as digits as its factorization.

138799872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 515 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 138799872 is about 11781.3357476986. The cubic root of 138799872 is about 517.7614222121.

The spelling of 138799872 in words is "one hundred thirty-eight million, seven hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 256 258 288 344 384 387 432 467 516 576 688 768 774 864 934 1032 1152 1161 1376 1401 1548 1728 1868 2064 2304 2322 2752 2802 3096 3456 3736 4128 4203 4644 5504 5604 6192 6912 7472 8256 8406 9288 11008 11208 12384 12609 14944 16512 16812 18576 20081 22416 24768 25218 29888 33024 33624 37152 40162 44832 49536 50436 59776 60243 67248 74304 80324 89664 99072 100872 119552 120486 134496 148608 160648 179328 180729 201744 240972 268992 297216 321296 358656 361458 403488 481944 537984 542187 642592 722916 806976 963888 1075968 1084374 1285184 1445832 1613952 1927776 2168748 2570368 2891664 3227904 3855552 4337496 5140736 5783328 7711104 8674992 11566656 15422208 17349984 23133312 34699968 46266624 69399936 138799872