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1640899152 = 243234732839
BaseRepresentation
bin110000111001110…
…0010001001010000
311020100122022110200
41201303202021100
511330032233102
6430454055200
755443261354
oct14163421120
94210568420
101640899152
11772276902
1239964a500
13201c55959
14117cdd464
15990cc51c
hex61ce2250

1640899152 has 60 divisors (see below), whose sum is σ = 4605612960. Its totient is φ = 545373504.

The previous prime is 1640899111. The next prime is 1640899181. The reversal of 1640899152 is 2519980461.

1640899152 is a `hidden beast` number, since 1 + 6 + 408 + 99 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1640899098 and 1640899107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33549 + ... + 66387.

It is an arithmetic number, because the mean of its divisors is an integer number (76760216).

Almost surely, 21640899152 is an apocalyptic number.

1640899152 is a gapful number since it is divisible by the number (12) 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 1640899152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302806480).

1640899152 is an abundant number, since it is smaller than the sum of its proper divisors (2964713808).

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

1640899152 is a wasteful number, since it uses less digits than its factorization.

1640899152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33200 (or 33191 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1640899152 is about 40508.0134294438. The cubic root of 1640899152 is about 1179.4891861626.

The spelling of 1640899152 in words is "one billion, six hundred forty million, eight hundred ninety-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 347 694 1041 1388 2082 2776 3123 4164 5552 6246 8328 12492 16656 24984 32839 49968 65678 98517 131356 197034 262712 295551 394068 525424 591102 788136 1182204 1576272 2364408 4728816 11395133 22790266 34185399 45580532 68370798 91161064 102556197 136741596 182322128 205112394 273483192 410224788 546966384 820449576 1640899152