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1513195344 = 24349712037
BaseRepresentation
bin101101000110001…
…1000011101010000
310220110100021210000
41122030120131100
511044334222334
6410053010000
752332643143
oct13214303520
93813307700
101513195344
11707183071
12362923900
131b166237b
14104d7a05a
158cca4299
hex5a318750

1513195344 has 100 divisors (see below), whose sum is σ = 4425144724. Its totient is φ = 499156992.

The previous prime is 1513195339. The next prime is 1513195367. The reversal of 1513195344 is 4435913151.

It can be written as a sum of positive squares in 2 ways, for example, as 242985744 + 1270209600 = 15588^2 + 35640^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1513195299 and 1513195308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119694 + ... + 131730.

Almost surely, 21513195344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1513195344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212572362).

1513195344 is an abundant number, since it is smaller than the sum of its proper divisors (2911949380).

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

1513195344 is a wasteful number, since it uses less digits than its factorization.

1513195344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12154 (or 12139 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 1513195344 is about 38899.8116190811. The cubic root of 1513195344 is about 1148.0610917401.

The spelling of 1513195344 in words is "one billion, five hundred thirteen million, one hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 108 144 162 194 216 291 324 388 432 582 648 776 873 1164 1296 1552 1746 2328 2619 3492 4656 5238 6984 7857 10476 12037 13968 15714 20952 24074 31428 36111 41904 48148 62856 72222 96296 108333 125712 144444 192592 216666 288888 324999 433332 577776 649998 866664 974997 1167589 1299996 1733328 1949994 2335178 2599992 3502767 3899988 4670356 5199984 7005534 7799976 9340712 10508301 14011068 15599952 18681424 21016602 28022136 31524903 42033204 56044272 63049806 84066408 94574709 126099612 168132816 189149418 252199224 378298836 504398448 756597672 1513195344