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1315377364 = 227273149617
BaseRepresentation
bin100111001100111…
…0001000011010100
310101200010002112011
41032121301003110
510143214033424
6334305034004
744411344300
oct11631610324
93350102464
101315377364
11615550534
12308625904
1317c690302
14c69a4d00
157a72b694
hex4e6710d4

1315377364 has 72 divisors (see below), whose sum is σ = 2737060200. Its totient is φ = 551384064.

The previous prime is 1315377347. The next prime is 1315377403. The reversal of 1315377364 is 4637735131.

It can be written as a sum of positive squares in 4 ways, for example, as 12744900 + 1302632464 = 3570^2 + 36092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2131584 + ... + 2132200.

It is an arithmetic number, because the mean of its divisors is an integer number (38014725).

Almost surely, 21315377364 is an apocalyptic number.

1315377364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315377364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368530100).

1315377364 is an abundant number, since it is smaller than the sum of its proper divisors (1421682836).

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

1315377364 is a wasteful number, since it uses less digits than its factorization.

1315377364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 848 counting only the distinct ones).

The product of its digits is 158760, while the sum is 40.

The square root of 1315377364 is about 36268.1315206615. The cubic root of 1315377364 is about 1095.6792943859.

The spelling of 1315377364 in words is "one billion, three hundred fifteen million, three hundred seventy-seven thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 73 98 146 149 196 292 298 511 596 617 1022 1043 1234 2044 2086 2468 3577 4172 4319 7154 7301 8638 10877 14308 14602 17276 21754 29204 30233 43508 45041 60466 76139 90082 91933 120932 152278 180164 183866 304556 315287 367732 532973 630574 643531 1065946 1261148 1287062 2131892 2207009 2574124 4414018 4504717 6711109 8828036 9009434 13422218 18018868 26844436 46977763 93955526 187911052 328844341 657688682 1315377364