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131908700 = 225271137463
BaseRepresentation
bin1111101110011…
…00010001011100
3100012012122201102
413313030101130
5232232034300
621031132232
73161130320
oct767142134
9305178642
10131908700
1168505a60
1238214078
13214364b1
1413739980
15b8a90d5
hex7dcc45c

131908700 has 144 divisors (see below), whose sum is σ = 367309824. Its totient is φ = 39916800.

The previous prime is 131908691. The next prime is 131908753. The reversal of 131908700 is 7809131.

131908700 = T1 + T2 + ... + T924.

131908700 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

131908700 is a nontrivial binomial coefficient, being equal to C(926, 3).

131908700 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is the 924-th tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284669 + ... + 285131.

Almost surely, 2131908700 is an apocalyptic number.

131908700 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 131908700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183654912).

131908700 is an abundant number, since it is smaller than the sum of its proper divisors (235401124).

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

131908700 is a wasteful number, since it uses less digits than its factorization.

131908700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 131908700 is about 11485.1512832875. The cubic root of 131908700 is about 509.0469192239.

The spelling of 131908700 in words is "one hundred thirty-one million, nine hundred eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 37 44 50 55 70 74 77 100 110 140 148 154 175 185 220 259 275 308 350 370 385 407 463 518 550 700 740 770 814 925 926 1036 1100 1295 1540 1628 1850 1852 1925 2035 2315 2590 2849 3241 3700 3850 4070 4630 5093 5180 5698 6475 6482 7700 8140 9260 10175 10186 11396 11575 12950 12964 14245 16205 17131 20350 20372 23150 25465 25900 28490 32410 34262 35651 40700 46300 50930 56980 64820 68524 71225 71302 81025 85655 101860 119917 127325 142450 142604 162050 171310 178255 188441 239834 254650 284900 324100 342620 356510 376882 428275 479668 509300 599585 713020 753764 856550 891275 942205 1199170 1319087 1713100 1782550 1884410 2398340 2638174 2997925 3565100 3768820 4711025 5276348 5995850 6595435 9422050 11991700 13190870 18844100 26381740 32977175 65954350 131908700