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136873920 = 2635236199
BaseRepresentation
bin10000010100010…
…00011111000000
3100112112220201110
420022020133000
5240014431140
621325403320
73251260221
oct1012103700
9315486643
10136873920
1170297447
1239a09540
13224844b1
141426d248
15c03a380
hex82887c0

136873920 has 112 divisors (see below), whose sum is σ = 453542400. Its totient is φ = 34907136.

The previous prime is 136873837. The next prime is 136873921. The reversal of 136873920 is 29378631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136873921) 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, 18981 + ... + 25179.

Almost surely, 2136873920 is an apocalyptic number.

136873920 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 136873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226771200).

136873920 is an abundant number, since it is smaller than the sum of its proper divisors (316668480).

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

136873920 is a wasteful number, since it uses less digits than its factorization.

136873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 136873920 is about 11699.3128003315. The cubic root of 136873920 is about 515.3554839793.

The spelling of 136873920 in words is "one hundred thirty-six million, eight hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 6199 7360 11040 12398 18597 22080 24796 30995 37194 49592 61990 74388 92985 99184 123980 142577 148776 185970 198368 247960 285154 297552 371940 396736 427731 495920 570308 595104 712885 743880 855462 991840 1140616 1190208 1425770 1487760 1710924 1983680 2138655 2281232 2851540 2975520 3421848 4277310 4562464 5703080 5951040 6843696 8554620 9124928 11406160 13687392 17109240 22812320 27374784 34218480 45624640 68436960 136873920