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130031748 = 223271161769
BaseRepresentation
bin1111100000000…
…10000010000100
3100001200022000200
413300002002010
5231242003443
620523010500
73136152210
oct760020204
9301608020
10130031748
1167443860
1237669a30
1320c2a082
14133ab940
15b637dd3
hex7c02084

130031748 has 144 divisors (see below), whose sum is σ = 417056640. Its totient is φ = 33177600.

The previous prime is 130031723. The next prime is 130031749. The reversal of 130031748 is 847130031.

130031748 is a `hidden beast` number, since 1 + 300 + 317 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (130031749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168708 + ... + 169476.

Almost surely, 2130031748 is an apocalyptic number.

130031748 is a gapful number since it is divisible by the number (18) 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 130031748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208528320).

130031748 is an abundant number, since it is smaller than the sum of its proper divisors (287024892).

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

130031748 is a wasteful number, since it uses less digits than its factorization.

130031748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 130031748 is about 11403.1464078999. The cubic root of 130031748 is about 506.6209367391.

Adding to 130031748 its reverse (847130031), we get a palindrome (977161779).

The spelling of 130031748 in words is "one hundred thirty million, thirty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 61 63 66 77 84 99 122 126 132 154 183 198 231 244 252 308 366 396 427 462 549 671 693 732 769 854 924 1098 1281 1342 1386 1538 1708 2013 2196 2307 2562 2684 2772 3076 3843 4026 4614 4697 5124 5383 6039 6921 7686 8052 8459 9228 9394 10766 12078 13842 14091 15372 16149 16918 18788 21532 24156 25377 27684 28182 32298 33836 42273 46909 48447 50754 56364 59213 64596 76131 84546 93818 96894 101508 118426 140727 152262 169092 177639 187636 193788 236852 281454 304524 328363 355278 422181 515999 532917 562908 656726 710556 844362 985089 1031998 1065834 1313452 1547997 1688724 1970178 2063996 2131668 2955267 3095994 3611993 3940356 4643991 5910534 6191988 7223986 9287982 10835979 11821068 14447972 18575964 21671958 32507937 43343916 65015874 130031748