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131066940 = 223517196763
BaseRepresentation
bin1111100111111…
…10110000111100
3100010121220001010
413303332300330
5232023120230
621001115220
73151023234
oct763766074
9303556033
10131066940
1167a90594
1237a88b10
1321200304
141359acc4
15b78e9b0
hex7cfec3c

131066940 has 96 divisors (see below), whose sum is σ = 409086720. Its totient is φ = 31159296.

The previous prime is 131066939. The next prime is 131066953. The reversal of 131066940 is 49660131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131066898 and 131066907.

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, 15999 + ... + 22761.

It is an arithmetic number, because the mean of its divisors is an integer number (4261320).

Almost surely, 2131066940 is an apocalyptic number.

131066940 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 131066940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204543360).

131066940 is an abundant number, since it is smaller than the sum of its proper divisors (278019780).

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

131066940 is a wasteful number, since it uses less digits than its factorization.

131066940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6811 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 131066940 is about 11448.4470562605. The cubic root of 131066940 is about 507.9617998845.

The spelling of 131066940 in words is "one hundred thirty-one million, sixty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 3230 3876 4845 6460 6763 9690 13526 19380 20289 27052 33815 40578 67630 81156 101445 114971 128497 135260 202890 229942 256994 344913 385491 405780 459884 513988 574855 642485 689826 770982 1149710 1284970 1379652 1541964 1724565 1927455 2184449 2299420 2569940 3449130 3854910 4368898 6553347 6898260 7709820 8737796 10922245 13106694 21844490 26213388 32766735 43688980 65533470 131066940