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1364933025 = 34528212
BaseRepresentation
bin101000101011011…
…0011100110100001
310112010100210010000
41101112303212201
510243410324100
6343235130213
745552511401
oct12126634641
93463323100
101364933025
11640518425
12321143969
13189a213a1
14cd3c4801
157ec69900
hex515b39a1

1364933025 has 45 divisors (see below), whose sum is σ = 2531411113. Its totient is φ = 727077600.

The previous prime is 1364932979. The next prime is 1364933027. The reversal of 1364933025 is 5203394631.

It is a happy number.

The square root of 1364933025 is 36945.

It is a perfect power (a square), and thus also a powerful number.

1364933025 is a `hidden beast` number, since 1 + 3 + 649 + 3 + 3 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 185422689 + 1179510336 = 13617^2 + 34344^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1364933025 - 223 = 1356544417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1364933027) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1662115 + ... + 1662935.

Almost surely, 21364933025 is an apocalyptic number.

1364933025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1364933025 is the 36945-th square number.

1364933025 is the 18473-rd centered octagonal number.

It is an amenable number.

1364933025 is a deficient number, since it is larger than the sum of its proper divisors (1166478088).

1364933025 is an frugal number, since it uses more digits than its factorization.

1364933025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The cubic root of 1364933025 is about 1109.2696071537.

Multiplying 1364933025 by its sum of digits (36), we get a square (49137588900 = 2216702).

The spelling of 1364933025 in words is "one billion, three hundred sixty-four million, nine hundred thirty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 821 2025 2463 4105 7389 12315 20525 22167 36945 61575 66501 110835 184725 332505 554175 674041 1662525 2022123 3370205 6066369 10110615 16851025 18199107 30331845 50553075 54597321 90995535 151659225 272986605 454977675 1364933025