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1315604420 = 2251359139617
BaseRepresentation
bin100111001101010…
…1000011111000100
310101200112121222122
41032122220133010
510143243320140
6334313545112
744413311254
oct11632503704
93350477878
101315604420
11615696089
12308715198
1317c73c770
14c6a23964
157a773ab5
hex4e6a87c4

1315604420 has 96 divisors (see below), whose sum is σ = 3052425600. Its totient is φ = 473324544.

The previous prime is 1315604413. The next prime is 1315604447. The reversal of 1315604420 is 244065131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1315604420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2131952 + ... + 2132568.

It is an arithmetic number, because the mean of its divisors is an integer number (31796100).

Almost surely, 21315604420 is an apocalyptic number.

1315604420 is a gapful number since it is divisible by the number (10) 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 1315604420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526212800).

1315604420 is an abundant number, since it is smaller than the sum of its proper divisors (1736821180).

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

1315604420 is a wasteful number, since it uses less digits than its factorization.

1315604420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1315604420 is about 36271.2616268031. The cubic root of 1315604420 is about 1095.7423349124.

Adding to 1315604420 its reverse (244065131), we get a palindrome (1559669551).

The spelling of 1315604420 in words is "one billion, three hundred fifteen million, six hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 139 236 260 278 295 556 590 617 695 767 1180 1234 1390 1534 1807 2468 2780 3068 3085 3614 3835 6170 7228 7670 8021 8201 9035 12340 15340 16042 16402 18070 32084 32804 36140 36403 40105 41005 72806 80210 82010 85763 106613 145612 160420 164020 171526 182015 213226 343052 364030 426452 428815 473239 533065 728060 857630 946478 1066130 1114919 1715260 1892956 2132260 2229838 2366195 4459676 4732390 5060017 5574595 9464780 10120034 11149190 20240068 22298380 25300085 50600170 65780221 101200340 131560442 263120884 328901105 657802210 1315604420