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1330945920 = 27325231067
BaseRepresentation
bin100111101010100…
…1001111110000000
310102202102001120100
41033111021332000
510211210232140
6340022442400
744660565543
oct11725117600
93382361510
101330945920
11623314407
12311893400
13182981685
14c8a9885a
157bca4530
hex4f549f80

1330945920 has 96 divisors (see below), whose sum is σ = 4595942520. Its totient is φ = 354917376.

The previous prime is 1330945897. The next prime is 1330945921. The reversal of 1330945920 is 295490331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330945921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109774 + ... + 121293.

Almost surely, 21330945920 is an apocalyptic number.

1330945920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330945920 is an abundant number, since it is smaller than the sum of its proper divisors (3264996600).

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

1330945920 is a wasteful number, since it uses less digits than its factorization.

1330945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231092 (or 231077 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1330945920 is about 36482.1315166754. The cubic root of 1330945920 is about 1099.9851017266.

The spelling of 1330945920 in words is "one billion, three hundred thirty million, nine hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 231067 462134 693201 924268 1155335 1386402 1848536 2079603 2310670 2772804 3466005 3697072 4159206 4621340 5545608 6932010 7394144 8318412 9242680 10398015 11091216 13864020 14788288 16636824 18485360 20796030 22182432 27728040 29576576 33273648 36970720 41592060 44364864 55456080 66547296 73941440 83184120 88729728 110912160 133094592 147882880 166368240 221824320 266189184 332736480 443648640 665472960 1330945920