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136783920 = 24357136263
BaseRepresentation
bin10000010011100…
…10100000110000
3100112101100021010
420021302200300
5240004041140
621323430520
73250433640
oct1011624060
9315340233
10136783920
1170235869
1239985440
1322452540
1414248520
15c01d880
hex8272830

136783920 has 160 divisors (see below), whose sum is σ = 521966592. Its totient is φ = 28855296.

The previous prime is 136783909. The next prime is 136783939. The reversal of 136783920 is 29387631.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 18709 + ... + 24971.

Almost surely, 2136783920 is an apocalyptic number.

136783920 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 136783920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260983296).

136783920 is an abundant number, since it is smaller than the sum of its proper divisors (385182672).

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

136783920 is a wasteful number, since it uses less digits than its factorization.

136783920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6293 counting only the distinct ones).

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

The square root of 136783920 is about 11695.4657880736. The cubic root of 136783920 is about 515.2425036947.

The spelling of 136783920 in words is "one hundred thirty-six million, seven hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 6263 7280 10920 12526 18789 21840 25052 31315 37578 43841 50104 62630 75156 81419 87682 93945 100208 125260 131523 150312 162838 175364 187890 219205 244257 250520 263046 300624 325676 350728 375780 407095 438410 488514 501040 526092 569933 651352 657615 701456 751560 814190 876820 977028 1052184 1139866 1221285 1302704 1315230 1503120 1628380 1709799 1753640 1954056 2104368 2279732 2442570 2630460 2849665 3256760 3419598 3507280 3908112 4559464 4885140 5260920 5699330 6513520 6839196 8548995 9118928 9770280 10521840 11398660 13678392 17097990 19540560 22797320 27356784 34195980 45594640 68391960 136783920