Search a number
-
+
130948188 = 22372792819
BaseRepresentation
bin1111100111000…
…01110001011100
3100010101212010220
413303201301130
5232010320223
620554401340
73150020100
oct763416134
9303355126
10130948188
1167a0a348
1237a30250
132118b247
1413569900
15b7696e3
hex7ce1c5c

130948188 has 72 divisors (see below), whose sum is σ = 360057600. Its totient is φ = 36927072.

The previous prime is 130948163. The next prime is 130948189. The reversal of 130948188 is 881849031.

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 (130948189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45043 + ... + 47861.

It is an arithmetic number, because the mean of its divisors is an integer number (5000800).

Almost surely, 2130948188 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 130948188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180028800).

130948188 is an abundant number, since it is smaller than the sum of its proper divisors (229109412).

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

130948188 is a wasteful number, since it uses less digits than its factorization.

130948188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 130948188 is about 11443.2595006842. The cubic root of 130948188 is about 507.8083421507.

The spelling of 130948188 in words is "one hundred thirty million, nine hundred forty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 147 158 196 237 294 316 474 553 588 948 1106 1659 2212 2819 3318 3871 5638 6636 7742 8457 11276 11613 15484 16914 19733 23226 33828 39466 46452 59199 78932 118398 138131 222701 236796 276262 414393 445402 552524 668103 828786 890804 1336206 1558907 1657572 2672412 3117814 4676721 6235628 9353442 10912349 18706884 21824698 32737047 43649396 65474094 130948188