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130990338 = 23317293487
BaseRepresentation
bin1111100111011…
…00000100000010
3100010110222222000
413303230010002
5232013142323
620555324430
73150254013
oct763540402
9303428860
10130990338
1167a38a86
1237a50716
13211a449b
141357b00a
15b776e43
hex7cec102

130990338 has 64 divisors (see below), whose sum is σ = 309899520. Its totient is φ = 40870656.

The previous prime is 130990337. The next prime is 130990339. The reversal of 130990338 is 833099031.

It is an interprime number because it is at equal distance from previous prime (130990337) and next prime (130990339).

It is not an unprimeable number, because it can be changed into a prime (130990331) 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, 268731 + ... + 269217.

It is an arithmetic number, because the mean of its divisors is an integer number (4842180).

Almost surely, 2130990338 is an apocalyptic number.

130990338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130990338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949760).

130990338 is an abundant number, since it is smaller than the sum of its proper divisors (178909182).

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

130990338 is a wasteful number, since it uses less digits than its factorization.

130990338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 130990338 is about 11445.1010480467. The cubic root of 130990338 is about 507.8628212691.

It can be divided in two parts, 130990 and 338, that added together give a triangular number (131328 = T512).

The spelling of 130990338 in words is "one hundred thirty million, nine hundred ninety thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 293 306 459 487 586 879 918 974 1461 1758 2637 2922 4383 4981 5274 7911 8279 8766 9962 13149 14943 15822 16558 24837 26298 29886 44829 49674 74511 89658 134487 142691 149022 223533 268974 285382 428073 447066 856146 1284219 2425747 2568438 3852657 4851494 7277241 7705314 14554482 21831723 43663446 65495169 130990338