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139267920 = 24351171743
BaseRepresentation
bin10000100110100…
…00111101010000
3100201001112200010
420103100331100
5241123033140
621452554520
73310520631
oct1023207520
9321045603
10139267920
1171682060
123a782a40
1322b1206c
14146d3888
15c35e880
hex84d0f50

139267920 has 160 divisors (see below), whose sum is σ = 478255104. Its totient is φ = 33241600.

The previous prime is 139267913. The next prime is 139267937. The reversal of 139267920 is 29762931.

It is a super-2 number, since 2×1392679202 = 38791107082252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187069 + ... + 187811.

Almost surely, 2139267920 is an apocalyptic number.

139267920 is a gapful number since it is divisible by the number (10) 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 139267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239127552).

139267920 is an abundant number, since it is smaller than the sum of its proper divisors (338987184).

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

139267920 is a wasteful number, since it uses less digits than its factorization.

139267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 139267920 is about 11801.1829915479. The cubic root of 139267920 is about 518.3427515466.

The spelling of 139267920 in words is "one hundred thirty-nine million, two hundred sixty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 71 80 88 110 120 132 142 165 176 213 220 240 264 284 330 355 426 440 528 568 660 710 743 781 852 880 1065 1136 1320 1420 1486 1562 1704 2130 2229 2343 2640 2840 2972 3124 3408 3715 3905 4260 4458 4686 5680 5944 6248 7430 7810 8173 8520 8916 9372 11145 11715 11888 12496 14860 15620 16346 17040 17832 18744 22290 23430 24519 29720 31240 32692 35664 37488 40865 44580 46860 49038 52753 59440 62480 65384 81730 89160 93720 98076 105506 122595 130768 158259 163460 178320 187440 196152 211012 245190 263765 316518 326920 392304 422024 490380 527530 580283 633036 653840 791295 844048 980760 1055060 1160566 1266072 1582590 1740849 1961520 2110120 2321132 2532144 2901415 3165180 3481698 4220240 4642264 5802830 6330360 6963396 8704245 9284528 11605660 12660720 13926792 17408490 23211320 27853584 34816980 46422640 69633960 139267920