Search a number
-
+
1332628920 = 233257528821
BaseRepresentation
bin100111101101110…
…0100110110111000
310102212120120012200
41033123210312320
510212123111140
6340122510200
745011105340
oct11733446670
93385516180
101332628920
11624263917
12312365360
1318312072c
14c8db5d20
157bed8030
hex4f6e4db8

1332628920 has 96 divisors (see below), whose sum is σ = 4949773920. Its totient is φ = 304600320.

The previous prime is 1332628919. The next prime is 1332628931. The reversal of 1332628920 is 298262331.

1332628920 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 628 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261891 + ... + 266930.

It is an arithmetic number, because the mean of its divisors is an integer number (51560145).

Almost surely, 21332628920 is an apocalyptic number.

1332628920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332628920 is an abundant number, since it is smaller than the sum of its proper divisors (3617145000).

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

1332628920 is a wasteful number, since it uses less digits than its factorization.

1332628920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528845 (or 528838 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1332628920 is about 36505.1903158989. The cubic root of 1332628920 is about 1100.4485553563.

The spelling of 1332628920 in words is "one billion, three hundred thirty-two million, six hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 528821 1057642 1586463 2115284 2644105 3172926 3701747 4230568 4759389 5288210 6345852 7403494 7932315 9518778 10576420 11105241 12691704 14806988 15864630 18508735 19037556 21152840 22210482 23796945 29613976 31729260 33315723 37017470 38075112 44420964 47593890 55526205 63458520 66631446 74034940 88841928 95187780 111052410 133262892 148069880 166578615 190375560 222104820 266525784 333157230 444209640 666314460 1332628920