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2073059136 = 26336171277
BaseRepresentation
bin111101110010000…
…0101111101000000
312100110211022112000
41323210011331000
513221200343021
6541412504000
7102241466121
oct17344057500
95313738460
102073059136
11974208015
1249a31b000
13270647415
14159476048
15c1ee4b26
hex7b905f40

2073059136 has 224 divisors, whose sum is σ = 6304239360. Its totient is φ = 667699200.

The previous prime is 2073059117. The next prime is 2073059137. The reversal of 2073059136 is 6319503702.

2073059136 is a `hidden beast` number, since 2 + 0 + 7 + 30 + 591 + 36 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 2073059136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073059137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7483830 + ... + 7484106.

Almost surely, 22073059136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073059136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152119680).

2073059136 is an abundant number, since it is smaller than the sum of its proper divisors (4231180224).

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

2073059136 is a wasteful number, since it uses less digits than its factorization.

2073059136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 2073059136 is about 45530.8591616719. The cubic root of 2073059136 is about 1275.0794026674.

The spelling of 2073059136 in words is "two billion, seventy-three million, fifty-nine thousand, one hundred thirty-six".