Search a number
-
+
1412676132 = 2237173726737
BaseRepresentation
bin101010000110011…
…1011101000100100
310122110012101100020
41110030323220210
510343121114012
6352102315140
750002356210
oct12414735044
93573171306
101412676132
1166546753a
12335128ab0
1319689944a
14d5891940
158404aa8c
hex5433ba24

1412676132 has 96 divisors (see below), whose sum is σ = 4096689408. Its totient is φ = 369598464.

The previous prime is 1412676113. The next prime is 1412676143. The reversal of 1412676132 is 2316762141.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1412676093 and 1412676102.

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, 39468 + ... + 66204.

It is an arithmetic number, because the mean of its divisors is an integer number (42673848).

Almost surely, 21412676132 is an apocalyptic number.

1412676132 is a gapful number since it is divisible by the number (12) 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 1412676132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048344704).

1412676132 is an abundant number, since it is smaller than the sum of its proper divisors (2684013276).

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

1412676132 is a wasteful number, since it uses less digits than its factorization.

1412676132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26805 (or 26803 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 1412676132 is about 37585.5840981619. The cubic root of 1412676132 is about 1122.0551477242.

The spelling of 1412676132 in words is "one billion, four hundred twelve million, six hundred seventy-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 37 42 51 68 74 84 102 111 119 148 204 222 238 259 357 444 476 518 629 714 777 1036 1258 1428 1554 1887 2516 3108 3774 4403 7548 8806 13209 17612 26418 26737 52836 53474 80211 106948 160422 187159 320844 374318 454529 561477 748636 909058 989269 1122954 1363587 1818116 1978538 2245908 2727174 2967807 3181703 3957076 5454348 5935614 6363406 6924883 9545109 11871228 12726812 13849766 16817573 19090218 20774649 27699532 33635146 38180436 41549298 50452719 67270292 83098596 100905438 117723011 201810876 235446022 353169033 470892044 706338066 1412676132