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1053507416 = 231310199941
BaseRepresentation
bin111110110010110…
…011111101011000
32201102100201111012
4332302303331120
54124144214131
6252312153052
735051444123
oct7662637530
92642321435
101053507416
114a074a795
12254998788
1313a352b90
149dcb93ba
156275052b
hex3ecb3f58

1053507416 has 32 divisors (see below), whose sum is σ = 2129576400. Its totient is φ = 485708160.

The previous prime is 1053507373. The next prime is 1053507419. The reversal of 1053507416 is 6147053501.

It is a super-2 number, since 2×10535074162 = 2219755751133994112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053507419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101006 + ... + 110946.

Almost surely, 21053507416 is an apocalyptic number.

It is an amenable number.

1053507416 is an abundant number, since it is smaller than the sum of its proper divisors (1076068984).

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

1053507416 is a wasteful number, since it uses less digits than its factorization.

1053507416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 1053507416 is about 32457.7789751548. The cubic root of 1053507416 is about 1017.5268211875.

The spelling of 1053507416 in words is "one billion, fifty-three million, five hundred seven thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 1019 2038 4076 8152 9941 13247 19882 26494 39764 52988 79528 105976 129233 258466 516932 1033864 10129879 20259758 40519516 81039032 131688427 263376854 526753708 1053507416