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2054942136 = 233513314361
BaseRepresentation
bin111101001111011…
…1110110110111000
312022012201212200000
41322132332312320
513202031122021
6535524313000
7101631501642
oct17236766670
95265655600
102054942136
11964a63495
12494242760
132699730c0
14156cbb892
15c0616b26
hex7a7bedb8

2054942136 has 384 divisors, whose sum is σ = 6672906240. Its totient is φ = 587865600.

The previous prime is 2054942119. The next prime is 2054942143. The reversal of 2054942136 is 6312494502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2054942136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33687546 + ... + 33687606.

It is an arithmetic number, because the mean of its divisors is an integer number (17377360).

Almost surely, 22054942136 is an apocalyptic number.

2054942136 is a gapful number since it is divisible by the number (26) 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 2054942136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336453120).

2054942136 is an abundant number, since it is smaller than the sum of its proper divisors (4617964104).

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

2054942136 is a wasteful number, since it uses less digits than its factorization.

2054942136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2054942136 is about 45331.4695989442. The cubic root of 2054942136 is about 1271.3541131741.

The spelling of 2054942136 in words is "two billion, fifty-four million, nine hundred forty-two thousand, one hundred thirty-six".