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130162680 = 23335191631
BaseRepresentation
bin1111100001000…
…01111111111000
3100001220221122000
413300201333320
5231310201210
620525501000
73140236014
oct760417770
9301827560
10130162680
116752316a
1237711760
1320c7484b
1413403544
15b661ac0
hex7c21ff8

130162680 has 128 divisors (see below), whose sum is σ = 436838400. Its totient is φ = 34473600.

The previous prime is 130162679. The next prime is 130162687. The reversal of 130162680 is 86261031.

130162680 is a `hidden beast` number, since 1 + 30 + 1 + 626 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130162687) 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, 205965 + ... + 206595.

It is an arithmetic number, because the mean of its divisors is an integer number (3412800).

Almost surely, 2130162680 is an apocalyptic number.

130162680 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 130162680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218419200).

130162680 is an abundant number, since it is smaller than the sum of its proper divisors (306675720).

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

130162680 is a wasteful number, since it uses less digits than its factorization.

130162680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130162680 is about 11408.8860104745. The cubic root of 130162680 is about 506.7909225103.

The spelling of 130162680 in words is "one hundred thirty million, one hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 191 216 270 360 382 540 573 631 764 955 1080 1146 1262 1528 1719 1893 1910 2292 2524 2865 3155 3438 3786 3820 4584 5048 5157 5679 5730 6310 6876 7572 7640 8595 9465 10314 11358 11460 12620 13752 15144 17037 17190 18930 20628 22716 22920 25240 25785 28395 34074 34380 37860 41256 45432 51570 56790 68148 68760 75720 85185 103140 113580 120521 136296 170370 206280 227160 241042 340740 361563 482084 602605 681480 723126 964168 1084689 1205210 1446252 1807815 2169378 2410420 2892504 3254067 3615630 4338756 4820840 5423445 6508134 7231260 8677512 10846890 13016268 14462520 16270335 21693780 26032536 32540670 43387560 65081340 130162680