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131404020 = 223511375381
BaseRepresentation
bin1111101010100…
…01000011110100
3100011021000102120
413311101003310
5232114412040
621012235540
73153626046
oct765210364
9304230376
10131404020
11681a0870
123800bbb0
13212ba877
1413647a96
15b8097d0
hex7d510f4

131404020 has 96 divisors (see below), whose sum is σ = 412304256. Its totient is φ = 30988800.

The previous prime is 131403977. The next prime is 131404069. The reversal of 131404020 is 20404131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 21730 + ... + 27110.

It is an arithmetic number, because the mean of its divisors is an integer number (4294836).

Almost surely, 2131404020 is an apocalyptic number.

131404020 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 131404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206152128).

131404020 is an abundant number, since it is smaller than the sum of its proper divisors (280900236).

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

131404020 is a wasteful number, since it uses less digits than its factorization.

131404020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5441 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 131404020 is about 11463.1592503986. The cubic root of 131404020 is about 508.3968884673.

Adding to 131404020 its reverse (20404131), we get a palindrome (151808151).

The spelling of 131404020 in words is "one hundred thirty-one million, four hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 5381 6105 8140 10762 12210 16143 21524 24420 26905 32286 53810 59191 64572 80715 107620 118382 161430 177573 199097 236764 295955 322860 355146 398194 591910 597291 710292 796388 887865 995485 1183820 1194582 1775730 1990970 2190067 2389164 2986455 3551460 3981940 4380134 5972910 6570201 8760268 10950335 11945820 13140402 21900670 26280804 32851005 43801340 65702010 131404020