Search a number
-
+
130971636 = 223219436173
BaseRepresentation
bin1111100111001…
…11011111110100
3100010110001022100
413303213133310
5232012043021
620555102100
73150145335
oct763473764
9303401270
10130971636
1167a25a24
1237a41930
1321198b13
141357428c
15b771626
hex7ce77f4

130971636 has 144 divisors (see below), whose sum is σ = 367407040. Its totient is φ = 39191040.

The previous prime is 130971629. The next prime is 130971647. The reversal of 130971636 is 636179031.

130971636 is a `hidden beast` number, since 13 + 0 + 9 + 7 + 1 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130971636.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1794096 + ... + 1794168.

Almost surely, 2130971636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130971636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183703520).

130971636 is an abundant number, since it is smaller than the sum of its proper divisors (236435404).

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

130971636 is a wasteful number, since it uses less digits than its factorization.

130971636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 130971636 is about 11444.2839880877. The cubic root of 130971636 is about 507.8386502687.

The spelling of 130971636 in words is "one hundred thirty million, nine hundred seventy-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 61 73 76 86 114 122 129 146 171 172 183 219 228 244 258 292 342 366 387 438 516 549 657 684 732 774 817 876 1098 1159 1314 1387 1548 1634 2196 2318 2451 2623 2628 2774 3139 3268 3477 4161 4453 4636 4902 5246 5548 6278 6954 7353 7869 8322 8906 9417 9804 10431 10492 12483 12556 13359 13908 14706 15738 16644 17812 18834 20862 23607 24966 26718 28251 29412 31476 37668 40077 41724 47214 49837 49932 53436 56502 59641 80154 84607 94428 99674 113004 119282 149511 160308 169214 178923 191479 199348 238564 253821 299022 338428 357846 382958 448533 507642 536769 574437 598044 715692 761463 765916 897066 1015284 1073538 1148874 1522926 1723311 1794132 2147076 2297748 3045852 3446622 3638101 6893244 7276202 10914303 14552404 21828606 32742909 43657212 65485818 130971636