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130897692 = 2232231491061
BaseRepresentation
bin1111100110101…
…01011100011100
3100010022021212200
413303111130130
5232002211232
620553331500
73146416632
oct763253434
9303267780
10130897692
1167985412
1237a06b90
1321171273
1413555352
15b75977c
hex7cd571c

130897692 has 72 divisors (see below), whose sum is σ = 347911200. Its totient is φ = 41416320.

The previous prime is 130897691. The next prime is 130897693. The reversal of 130897692 is 296798031.

It is an interprime number because it is at equal distance from previous prime (130897691) and next prime (130897693).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130897691) 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, 122842 + ... + 123902.

It is an arithmetic number, because the mean of its divisors is an integer number (4832100).

Almost surely, 2130897692 is an apocalyptic number.

130897692 is a gapful number since it is divisible by the number (12) 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 130897692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173955600).

130897692 is an abundant number, since it is smaller than the sum of its proper divisors (217013508).

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

130897692 is a wasteful number, since it uses less digits than its factorization.

130897692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 130897692 is about 11441.0529235731. The cubic root of 130897692 is about 507.7430603850.

The spelling of 130897692 in words is "one hundred thirty million, eight hundred ninety-seven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 149 207 276 298 414 447 596 828 894 1061 1341 1788 2122 2682 3183 3427 4244 5364 6366 6854 9549 10281 12732 13708 19098 20562 24403 30843 38196 41124 48806 61686 73209 97612 123372 146418 158089 219627 292836 316178 439254 474267 632356 878508 948534 1422801 1897068 2845602 3636047 5691204 7272094 10908141 14544188 21816282 32724423 43632564 65448846 130897692