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130983516 = 223214924419
BaseRepresentation
bin1111100111010…
…10011001011100
3100010110122121100
413303222121130
5232012433031
620555233100
73150225066
oct763523134
9303418540
10130983516
1167a33944
1237a48790
13211a1351
1413578736
15b774de6
hex7cea65c

130983516 has 36 divisors (see below), whose sum is σ = 333333000. Its totient is φ = 43366368.

The previous prime is 130983509. The next prime is 130983533. The reversal of 130983516 is 615389031.

It is a happy number.

130983516 is a `hidden beast` number, since 130 + 9 + 8 + 3 + 516 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6846 + ... + 17573.

It is an arithmetic number, because the mean of its divisors is an integer number (9259250).

Almost surely, 2130983516 is an apocalyptic number.

It is an amenable number.

130983516 is an abundant number, since it is smaller than the sum of its proper divisors (202349484).

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

130983516 is a wasteful number, since it uses less digits than its factorization.

130983516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24578 (or 24573 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 130983516 is about 11444.8030127215. The cubic root of 130983516 is about 507.8540045875.

The spelling of 130983516 in words is "one hundred thirty million, nine hundred eighty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 24419 48838 73257 97676 146514 219771 293028 439542 879084 3638431 7276862 10915293 14553724 21830586 32745879 43661172 65491758 130983516