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130746840 = 23357315021
BaseRepresentation
bin1111100101100…
…00100111011000
3100010000121221120
413302300213120
5231432344330
620550205240
73145221060
oct762604730
9303017846
10130746840
1167892044
1237953820
132111a6c3
14135163a0
15b729c10
hex7cb09d8

130746840 has 128 divisors (see below), whose sum is σ = 462827520. Its totient is φ = 28915200.

The previous prime is 130746821. The next prime is 130746841. The reversal of 130746840 is 48647031.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130746841) 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, 23530 + ... + 28550.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2130746840 is an apocalyptic number.

130746840 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 130746840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760).

130746840 is an abundant number, since it is smaller than the sum of its proper divisors (332080680).

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

130746840 is a wasteful number, since it uses less digits than its factorization.

130746840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 130746840 is about 11434.4584480420. The cubic root of 130746840 is about 507.5479372645.

The spelling of 130746840 in words is "one hundred thirty million, seven hundred forty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5021 5208 6510 8680 10042 13020 15063 20084 25105 26040 30126 35147 40168 50210 60252 70294 75315 100420 105441 120504 140588 150630 155651 175735 200840 210882 281176 301260 311302 351470 421764 466953 527205 602520 622604 702940 778255 843528 933906 1054410 1089557 1245208 1405880 1556510 1867812 2108820 2179114 2334765 3113020 3268671 3735624 4217640 4358228 4669530 5447785 6226040 6537342 8716456 9339060 10895570 13074684 16343355 18678120 21791140 26149368 32686710 43582280 65373420 130746840