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1365695328 = 25331617523
BaseRepresentation
bin101000101100110…
…1101101101100000
310112011210111210110
41101121231231200
510244104222303
6343303331320
745562135014
oct12131555540
93464714713
101365695328
11640999128
12321450b40
13189c2a35a
14cd542544
157ed6a703
hex5166db60

1365695328 has 96 divisors (see below), whose sum is σ = 3761759232. Its totient is φ = 433267200.

The previous prime is 1365695327. The next prime is 1365695329. The reversal of 1365695328 is 8235965631.

It is an interprime number because it is at equal distance from previous prime (1365695327) and next prime (1365695329).

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365695321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177775 + ... + 185297.

It is an arithmetic number, because the mean of its divisors is an integer number (39184992).

Almost surely, 21365695328 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 1365695328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880879616).

1365695328 is an abundant number, since it is smaller than the sum of its proper divisors (2396063904).

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

1365695328 is a wasteful number, since it uses less digits than its factorization.

1365695328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7620 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 1365695328 is about 36955.3152875199. The cubic root of 1365695328 is about 1109.4760744706.

The spelling of 1365695328 in words is "one billion, three hundred sixty-five million, six hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 183 186 244 248 366 372 488 496 732 744 976 992 1464 1488 1891 1952 2928 2976 3782 5673 5856 7523 7564 11346 15046 15128 22569 22692 30092 30256 45138 45384 60184 60512 90276 90768 120368 180552 181536 233213 240736 361104 458903 466426 699639 722208 917806 932852 1376709 1399278 1835612 1865704 2753418 2798556 3671224 3731408 5506836 5597112 7342448 7462816 11013672 11194224 14225993 14684896 22027344 22388448 28451986 42677979 44054688 56903972 85355958 113807944 170711916 227615888 341423832 455231776 682847664 1365695328