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130886196 = 223717151607
BaseRepresentation
bin1111100110100…
…10101000110100
3100010021201002220
413303102220310
5232001324241
620553202340
73146341260
oct763225064
9303251086
10130886196
1167977811
1237a003b0
1321168c6c
14135510a0
15b756166
hex7cd2a34

130886196 has 96 divisors (see below), whose sum is σ = 372621312. Its totient is φ = 34905600.

The previous prime is 130886191. The next prime is 130886201. The reversal of 130886196 is 691688031.

It is an interprime number because it is at equal distance from previous prime (130886191) and next prime (130886201).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130886191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215325 + ... + 215931.

It is an arithmetic number, because the mean of its divisors is an integer number (3881472).

Almost surely, 2130886196 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 130886196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186310656).

130886196 is an abundant number, since it is smaller than the sum of its proper divisors (241735116).

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

130886196 is a wasteful number, since it uses less digits than its factorization.

130886196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 130886196 is about 11440.5505112298. The cubic root of 130886196 is about 507.7281958879.

The spelling of 130886196 in words is "one hundred thirty million, eight hundred eighty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 151 204 238 302 357 453 476 604 607 714 906 1057 1214 1428 1812 1821 2114 2428 2567 3171 3642 4228 4249 5134 6342 7284 7701 8498 10268 10319 12684 12747 15402 16996 17969 20638 25494 30804 30957 35938 41276 50988 53907 61914 71876 72233 91657 107814 123828 144466 183314 215628 216699 274971 288932 366628 433398 549942 641599 866796 1099884 1283198 1558169 1924797 2566396 3116338 3849594 4674507 6232676 7699188 9349014 10907183 18698028 21814366 32721549 43628732 65443098 130886196