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1329412032 = 263213177539
BaseRepresentation
bin100111100111101…
…0011011111000000
310102122112010110200
41033033103133000
510210312141112
6335525525200
744641546554
oct11717233700
93378463420
101329412032
11622466a33
12311273800
13182565450
14c87b9864
157ba9ecdc
hex4f3d37c0

1329412032 has 84 divisors (see below), whose sum is σ = 4103659560. Its totient is φ = 409047552.

The previous prime is 1329412031. The next prime is 1329412043. The reversal of 1329412032 is 2302149231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1329411987 and 1329412005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329412031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81282 + ... + 96257.

It is an arithmetic number, because the mean of its divisors is an integer number (48853090).

Almost surely, 21329412032 is an apocalyptic number.

1329412032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1329412032 is an abundant number, since it is smaller than the sum of its proper divisors (2774247528).

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

1329412032 is a wasteful number, since it uses less digits than its factorization.

1329412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177570 (or 177557 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1329412032 is about 36461.1030003208. The cubic root of 1329412032 is about 1099.5623691640.

The spelling of 1329412032 in words is "one billion, three hundred twenty-nine million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 177539 355078 532617 710156 1065234 1420312 1597851 2130468 2308007 2840624 3195702 4260936 4616014 5681248 6391404 6924021 8521872 9232028 11362496 12782808 13848042 17043744 18464056 20772063 25565616 27696084 34087488 36928112 41544126 51131232 55392168 73856224 83088252 102262464 110784336 147712448 166176504 221568672 332353008 443137344 664706016 1329412032