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130418900 = 22521776717
BaseRepresentation
bin1111100011000…
…00100011010100
3100002101222002122
413301200203110
5231341401100
620535155112
73142354013
oct761404324
9302358078
10130418900
1167688717
1237815a98
1321034361
141346ca7a
15b6b2985
hex7c608d4

130418900 has 36 divisors (see below), whose sum is σ = 299660508. Its totient is φ = 49098240.

The previous prime is 130418879. The next prime is 130418921. The reversal of 130418900 is 9814031.

It is an interprime number because it is at equal distance from previous prime (130418879) and next prime (130418921).

It can be written as a sum of positive squares in 6 ways, for example, as 3225616 + 127193284 = 1796^2 + 11278^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 130418900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36659 + ... + 40058.

It is an arithmetic number, because the mean of its divisors is an integer number (8323903).

Almost surely, 2130418900 is an apocalyptic number.

130418900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130418900 is an abundant number, since it is smaller than the sum of its proper divisors (169241608).

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

130418900 is a wasteful number, since it uses less digits than its factorization.

130418900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76748 (or 76741 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 130418900 is about 11420.1094565683. The cubic root of 130418900 is about 507.1232370717.

The spelling of 130418900 in words is "one hundred thirty million, four hundred eighteen thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 76717 153434 306868 383585 767170 1304189 1534340 1917925 2608378 3835850 5216756 6520945 7671700 13041890 26083780 32604725 65209450 130418900