Search a number
-
+
131263020 = 223257195483
BaseRepresentation
bin1111101001011…
…10101000101100
3100010222212000100
413310232220230
5232100404040
621005231100
73152501010
oct764565054
9303885010
10131263020
1168104939
1237b62490
132126b635
141360c540
15b7ccb30
hex7d2ea2c

131263020 has 144 divisors (see below), whose sum is σ = 479082240. Its totient is φ = 28418688.

The previous prime is 131262997. The next prime is 131263049. The reversal of 131263020 is 20362131.

131263020 is a `hidden beast` number, since 1 + 3 + 12 + 630 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131262984 and 131263002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21199 + ... + 26681.

It is an arithmetic number, because the mean of its divisors is an integer number (3326960).

Almost surely, 2131263020 is an apocalyptic number.

131263020 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 131263020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239541120).

131263020 is an abundant number, since it is smaller than the sum of its proper divisors (347819220).

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

131263020 is a wasteful number, since it uses less digits than its factorization.

131263020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131263020 is about 11457.0074626841. The cubic root of 131263020 is about 508.2149822716.

The spelling of 131263020 in words is "one hundred thirty-one million, two hundred sixty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5483 5985 7980 10966 11970 16449 21932 23940 27415 32898 38381 49347 54830 65796 76762 82245 98694 104177 109660 115143 153524 164490 191905 197388 208354 230286 246735 312531 328980 345429 383810 416708 460572 493470 520885 575715 625062 690858 729239 767620 937593 986940 1041770 1151430 1250124 1381716 1458478 1562655 1727145 1875186 2083540 2187717 2302860 2916956 3125310 3454290 3646195 3750372 4375434 4687965 6250620 6563151 6908580 7292390 8750868 9375930 10938585 13126302 14584780 18751860 21877170 26252604 32815755 43754340 65631510 131263020