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1332096164 = 227231271809
BaseRepresentation
bin100111101100110…
…0010110010100100
310102211120111101222
41033121202302210
510212004034124
6340103235512
745003426200
oct11731426244
93384514358
101332096164
11623a2a623
12312148b98
13182c950a9
14c8cb7b00
157be3025e
hex4f662ca4

1332096164 has 72 divisors (see below), whose sum is σ = 2813045760. Its totient is φ = 549763200.

The previous prime is 1332096131. The next prime is 1332096169. The reversal of 1332096164 is 4616902331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1332096169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1646192 + ... + 1647000.

It is an arithmetic number, because the mean of its divisors is an integer number (39070080).

Almost surely, 21332096164 is an apocalyptic number.

1332096164 is a gapful number since it is divisible by the number (14) 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 1332096164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406522880).

1332096164 is an abundant number, since it is smaller than the sum of its proper divisors (1480949596).

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

1332096164 is a wasteful number, since it uses less digits than its factorization.

1332096164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 1332096164 is about 36497.8925966966. The cubic root of 1332096164 is about 1100.3018906934.

Adding to 1332096164 its reverse (4616902331), we get a palindrome (5948998495).

The spelling of 1332096164 in words is "one billion, three hundred thirty-two million, ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 271 434 542 809 868 1084 1519 1618 1897 3038 3236 3794 5663 6076 7588 8401 11326 13279 16802 22652 25079 26558 33604 39641 50158 53116 58807 79282 100316 117614 158564 175553 219239 235228 351106 411649 438478 702212 823298 876956 1228871 1534673 1646596 2457742 3069346 4915484 6138692 6796409 10742711 13592818 21485422 27185636 42970844 47574863 95149726 190299452 333024041 666048082 1332096164