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1402812972 = 2233111180819
BaseRepresentation
bin101001110011101…
…0011101000101100
310121202122021122000
41103213103220230
510333110003342
6351111052300
746522466511
oct12347235054
93552567560
101402812972
1165a940170
12331971090
13194824c62
14d4445308
158324d44c
hex539d3a2c

1402812972 has 48 divisors (see below), whose sum is σ = 3967555200. Its totient is φ = 425094480.

The previous prime is 1402812949. The next prime is 1402812979. The reversal of 1402812972 is 2792182041.

1402812972 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14028129722 = 3935768468822945568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1402812979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589222 + ... + 591597.

It is an arithmetic number, because the mean of its divisors is an integer number (82657400).

Almost surely, 21402812972 is an apocalyptic number.

1402812972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1402812972 is an abundant number, since it is smaller than the sum of its proper divisors (2564742228).

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

1402812972 is a wasteful number, since it uses less digits than its factorization.

1402812972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180843 (or 1180835 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1402812972 is about 37454.1449241603. The cubic root of 1402812972 is about 1119.4376886069.

It can be divided in two parts, 14028 and 12972, that added together give a cube (27000 = 303).

The spelling of 1402812972 in words is "one billion, four hundred two million, eight hundred twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1180819 2361638 3542457 4723276 7084914 10627371 12989009 14169828 21254742 25978018 31882113 38967027 42509484 51956036 63764226 77934054 116901081 127528452 155868108 233802162 350703243 467604324 701406486 1402812972