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131350080 = 2635612243
BaseRepresentation
bin1111101010000…
…11111001000000
3100011011021102210
413311003321000
5232111200310
621011142120
73153312561
oct765037100
9304137383
10131350080
1168164294
1237ba4940
132129c154
1413632168
15b7e8820
hex7d43e40

131350080 has 112 divisors (see below), whose sum is σ = 424062144. Its totient is φ = 34437120.

The previous prime is 131350067. The next prime is 131350099. The reversal of 131350080 is 80053131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57439 + ... + 59681.

Almost surely, 2131350080 is an apocalyptic number.

131350080 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 131350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212031072).

131350080 is an abundant number, since it is smaller than the sum of its proper divisors (292712064).

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

131350080 is a wasteful number, since it uses less digits than its factorization.

131350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 131350080 is about 11460.8062543610. The cubic root of 131350080 is about 508.3273150471.

The spelling of 131350080 in words is "one hundred thirty-one million, three hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1830 1952 2243 2440 2928 3660 3904 4486 4880 5856 6729 7320 8972 9760 11215 11712 13458 14640 17944 19520 22430 26916 29280 33645 35888 44860 53832 58560 67290 71776 89720 107664 134580 136823 143552 179440 215328 269160 273646 358880 410469 430656 538320 547292 684115 717760 820938 1076640 1094584 1368230 1641876 2052345 2153280 2189168 2736460 3283752 4104690 4378336 5472920 6567504 8209380 8756672 10945840 13135008 16418760 21891680 26270016 32837520 43783360 65675040 131350080