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1350121536 = 263215312
BaseRepresentation
bin101000001111001…
…0011100001000000
310111002111021120100
41100132103201000
510231112342121
6341545442400
745312562251
oct12036234100
93432437510
101350121536
11633121325
123181a0400
131869367aa
14cb44ab28
157d7e1026
hex50793840

1350121536 has 63 divisors (see below), whose sum is σ = 3872408943. Its totient is φ = 449746560.

The previous prime is 1350121519. The next prime is 1350121537. The reversal of 1350121536 is 6351210531.

The square root of 1350121536 is 36744.

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

1350121536 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 121 + 536 = 666.

It is not an unprimeable number, because it can be changed into a prime (1350121537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 881091 + ... + 882621.

Almost surely, 21350121536 is an apocalyptic number.

1350121536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1350121536 is the 36744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350121536

1350121536 is an abundant number, since it is smaller than the sum of its proper divisors (2522287407).

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

1350121536 is an frugal number, since it uses more digits than its factorization.

1350121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The cubic root of 1350121536 is about 1105.2426147045.

The spelling of 1350121536 in words is "one billion, three hundred fifty million, one hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1531 3062 4593 6124 9186 12248 13779 18372 24496 27558 36744 48992 55116 73488 97984 110232 146976 220464 293952 440928 881856 2343961 4687922 7031883 9375844 14063766 18751688 21095649 28127532 37503376 42191298 56255064 75006752 84382596 112510128 150013504 168765192 225020256 337530384 450040512 675060768 1350121536