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130897140 = 223511238623
BaseRepresentation
bin1111100110101…
…01010011110100
3100010022021010020
413303111103310
5232002202030
620553325140
73146415213
oct763252364
9303267106
10130897140
1167984a60
1237a067b0
1321170c3a
141355507a
15b759510
hex7cd54f4

130897140 has 96 divisors (see below), whose sum is σ = 417263616. Its totient is φ = 30349440.

The previous prime is 130897073. The next prime is 130897141. The reversal of 130897140 is 41798031.

It is a super-2 number, since 2×1308971402 = 34268122520359200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130897141) 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, 10869 + ... + 19491.

It is an arithmetic number, because the mean of its divisors is an integer number (4346496).

Almost surely, 2130897140 is an apocalyptic number.

130897140 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 130897140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208631808).

130897140 is an abundant number, since it is smaller than the sum of its proper divisors (286366476).

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

130897140 is a wasteful number, since it uses less digits than its factorization.

130897140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8669 (or 8667 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 130897140 is about 11441.0287998938. The cubic root of 130897140 is about 507.7423466608.

The spelling of 130897140 in words is "one hundred thirty million, eight hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 8623 15180 17246 25869 34492 43115 51738 86230 94853 103476 129345 172460 189706 198329 258690 284559 379412 396658 474265 517380 569118 594987 793316 948530 991645 1138236 1189974 1422795 1897060 1983290 2181619 2379948 2845590 2974935 3966580 4363238 5691180 5949870 6544857 8726476 10908095 11899740 13089714 21816190 26179428 32724285 43632380 65448570 130897140