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130918840 = 235132231129
BaseRepresentation
bin1111100110110…
…10100110111000
3100010100100212221
413303122212320
5232003400330
620554013424
73146535403
oct763324670
9303310787
10130918840
116799a298
1237a17274
132117aa90
141355cd3a
15b760b7a
hex7cda9b8

130918840 has 64 divisors (see below), whose sum is σ = 318931200. Its totient is φ = 48079872.

The previous prime is 130918831. The next prime is 130918841. The reversal of 130918840 is 48819031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130918796 and 130918805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130918841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115396 + ... + 116524.

It is an arithmetic number, because the mean of its divisors is an integer number (4983300).

Almost surely, 2130918840 is an apocalyptic number.

130918840 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 130918840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159465600).

130918840 is an abundant number, since it is smaller than the sum of its proper divisors (188012360).

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

130918840 is a wasteful number, since it uses less digits than its factorization.

130918840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 130918840 is about 11441.9771018823. The cubic root of 130918840 is about 507.7704027872.

The spelling of 130918840 in words is "one hundred thirty million, nine hundred eighteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 223 260 446 520 892 1115 1129 1784 2230 2258 2899 4460 4516 5645 5798 8920 9032 11290 11596 14495 14677 22580 23192 28990 29354 45160 57980 58708 73385 115960 117416 146770 251767 293540 503534 587080 1007068 1258835 2014136 2517670 3272971 5035340 6545942 10070680 13091884 16364855 26183768 32729710 65459420 130918840