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1137421824 = 29371159163
BaseRepresentation
bin100001111001011…
…1010111000000000
32221021021000102020
41003302322320000
54312134444244
6304510521440
740120632420
oct10362727000
92837230366
101137421824
11534054940
12278b06280
13151853b86
14ab0c0480
1569cc8d19
hex43cbae00

1137421824 has 320 divisors, whose sum is σ = 3865466880. Its totient is φ = 288645120.

The previous prime is 1137421819. The next prime is 1137421841. The reversal of 1137421824 is 4281247311.

It is a super-2 number, since 2×11374218242 = 2587456811422973952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6977967 + ... + 6978129.

It is an arithmetic number, because the mean of its divisors is an integer number (12079584).

Almost surely, 21137421824 is an apocalyptic number.

1137421824 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 1137421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932733440).

1137421824 is an abundant number, since it is smaller than the sum of its proper divisors (2728045056).

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

1137421824 is a wasteful number, since it uses less digits than its factorization.

1137421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 1137421824 is about 33725.6849300351. The cubic root of 1137421824 is about 1043.8558248373.

The spelling of 1137421824 in words is "one billion, one hundred thirty-seven million, four hundred twenty-one thousand, eight hundred twenty-four".