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131333720 = 23572371811
BaseRepresentation
bin1111101001111…
…11111001011000
3100011010102222212
413310333321120
5232110134340
621010534252
73153214100
oct764777130
9304112885
10131333720
1168152a71
1237b97388
132129487b
141362a200
15b7e3a65
hex7d3fe58

131333720 has 96 divisors (see below), whose sum is σ = 353231280. Its totient is φ = 43787520.

The previous prime is 131333717. The next prime is 131333729. The reversal of 131333720 is 27333131.

It is a happy number.

131333720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71615 + ... + 73425.

Almost surely, 2131333720 is an apocalyptic number.

131333720 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 131333720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176615640).

131333720 is an abundant number, since it is smaller than the sum of its proper divisors (221897560).

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

131333720 is a wasteful number, since it uses less digits than its factorization.

131333720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 131333720 is about 11460.0924952637. The cubic root of 131333720 is about 508.3062096669.

Adding to 131333720 its reverse (27333131), we get a palindrome (158666851).

The spelling of 131333720 in words is "one hundred thirty-one million, three hundred thirty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 49 56 70 74 98 140 148 185 196 245 259 280 296 370 392 490 518 740 980 1036 1295 1480 1811 1813 1960 2072 2590 3622 3626 5180 7244 7252 9055 9065 10360 12677 14488 14504 18110 18130 25354 36220 36260 50708 63385 67007 72440 72520 88739 101416 126770 134014 177478 253540 268028 335035 354956 443695 469049 507080 536056 670070 709912 887390 938098 1340140 1774780 1876196 2345245 2680280 3283343 3549560 3752392 4690490 6566686 9380980 13133372 16416715 18761960 26266744 32833430 65666860 131333720