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1312000420 = 225257255253
BaseRepresentation
bin100111000110011…
…1000100110100100
310101102202112020011
41032030320212210
510141333003140
6334104420004
744340551053
oct11614704644
93342675204
101312000420
11613654375
12307477604
1317ba7a213
14c636639a
157a2b0cea
hex4e3389a4

1312000420 has 24 divisors (see below), whose sum is σ = 2765932344. Its totient is φ = 522756096.

The previous prime is 1312000373. The next prime is 1312000447. The reversal of 1312000420 is 240002131.

It can be written as a sum of positive squares in 4 ways, for example, as 845181184 + 466819236 = 29072^2 + 21606^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1312000420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122487 + ... + 132766.

It is an arithmetic number, because the mean of its divisors is an integer number (115247181).

Almost surely, 21312000420 is an apocalyptic number.

1312000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312000420 is an abundant number, since it is smaller than the sum of its proper divisors (1453931924).

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

1312000420 is a wasteful number, since it uses less digits than its factorization.

1312000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255519 (or 255517 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1312000420 is about 36221.5463502043. The cubic root of 1312000420 is about 1094.7408517765.

Adding to 1312000420 its reverse (240002131), we get a palindrome (1552002551).

The spelling of 1312000420 in words is "one billion, three hundred twelve million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 255253 510506 1021012 1276265 2552530 5105060 65600021 131200042 262400084 328000105 656000210 1312000420