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1339133904 = 24334337159
BaseRepresentation
bin100111111010001…
…1000111111010000
310110022211001101000
41033310120333100
510220304241104
6340514142000
745120310323
oct11764307720
93408731330
101339133904
116279a7139
12314581900
1318458a534
14c9bca7ba
157c870639
hex4fd18fd0

1339133904 has 80 divisors (see below), whose sum is σ = 3853225600. Its totient is φ = 445284864.

The previous prime is 1339133897. The next prime is 1339133909. The reversal of 1339133904 is 4093319331.

It is a super-2 number, since 2×13391339042 = 3586559225684562432, which contains 22 as substring.

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 (1339133909) 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 15 ways as a sum of consecutive naturals, for example, 183477 + ... + 190635.

It is an arithmetic number, because the mean of its divisors is an integer number (48165320).

Almost surely, 21339133904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1339133904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926612800).

1339133904 is an abundant number, since it is smaller than the sum of its proper divisors (2514091696).

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

1339133904 is a wasteful number, since it uses less digits than its factorization.

1339133904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 1339133904 is about 36594.1785534257. The cubic root of 1339133904 is about 1102.2361958486.

The spelling of 1339133904 in words is "one billion, three hundred thirty-nine million, one hundred thirty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 433 866 1299 1732 2598 3464 3897 5196 6928 7159 7794 10392 11691 14318 15588 20784 21477 23382 28636 31176 42954 46764 57272 62352 64431 85908 93528 114544 128862 171816 187056 193293 257724 343632 386586 515448 773172 1030896 1546344 3092688 3099847 6199694 9299541 12399388 18599082 24798776 27898623 37198164 49597552 55797246 74396328 83695869 111594492 148792656 167391738 223188984 334783476 446377968 669566952 1339133904