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130690890 = 23251131091
BaseRepresentation
bin1111100101000…
…10111101001010
3100002220210012100
413302202331022
5231424102030
620545054230
73144566001
oct762427512
9302823170
10130690890
1167854000
1237927376
13210cb0b5
14134ddc38
15b718360
hex7ca2f4a

130690890 has 96 divisors (see below), whose sum is σ = 374092992. Its totient is φ = 31653600.

The previous prime is 130690871. The next prime is 130690909. The reversal of 130690890 is 98096031.

It is an interprime number because it is at equal distance from previous prime (130690871) and next prime (130690909).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119245 + ... + 120335.

It is an arithmetic number, because the mean of its divisors is an integer number (3896802).

Almost surely, 2130690890 is an apocalyptic number.

130690890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130690890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187046496).

130690890 is an abundant number, since it is smaller than the sum of its proper divisors (243402102).

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

130690890 is a wasteful number, since it uses less digits than its factorization.

130690890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 130690890 is about 11432.0116340039. The cubic root of 130690890 is about 507.4755292463.

The spelling of 130690890 in words is "one hundred thirty million, six hundred ninety thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1091 1210 1331 1815 2178 2182 2662 3273 3630 3993 5445 5455 6546 6655 7986 9819 10890 10910 11979 12001 13310 16365 19638 19965 23958 24002 32730 36003 39930 49095 59895 60005 72006 98190 108009 119790 120010 132011 180015 216018 264022 360030 396033 540045 660055 792066 1080090 1188099 1320110 1452121 1980165 2376198 2904242 3960330 4356363 5940495 7260605 8712726 11880990 13069089 14521210 21781815 26138178 43563630 65345445 130690890