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1313061984 = 253213350711
BaseRepresentation
bin100111001000011…
…1011110001100000
310101111202110102100
41032100323301200
510142120440414
6334143250400
744352562023
oct11620736140
93344673370
101313061984
116142099a3
123078a9a00
1317c05c470
14c65611ba
157a420609
hex4e43bc60

1313061984 has 72 divisors (see below), whose sum is σ = 4021263792. Its totient is φ = 404017920.

The previous prime is 1313061979. The next prime is 1313061989. The reversal of 1313061984 is 4891603131.

1313061984 is a `hidden beast` number, since 1 + 3 + 1 + 30 + 619 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1313061979) and next prime (1313061989).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313061989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171612 + ... + 179099.

It is an arithmetic number, because the mean of its divisors is an integer number (55850886).

Almost surely, 21313061984 is an apocalyptic number.

It is an amenable number.

1313061984 is an abundant number, since it is smaller than the sum of its proper divisors (2708201808).

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

1313061984 is a wasteful number, since it uses less digits than its factorization.

1313061984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350740 (or 350729 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1313061984 is about 36236.1971514672. The cubic root of 1313061984 is about 1095.0360305902.

The spelling of 1313061984 in words is "one billion, three hundred thirteen million, sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 350711 701422 1052133 1402844 2104266 2805688 3156399 4208532 4559243 5611376 6312798 8417064 9118486 11222752 12625596 13677729 16834128 18236972 25251192 27355458 33668256 36473944 41033187 50502384 54710916 72947888 82066374 101004768 109421832 145895776 164132748 218843664 328265496 437687328 656530992 1313061984