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1604651140 = 2253110872381
BaseRepresentation
bin101111110100101…
…0000100010000100
311010211102201112201
41133221100202010
511241242314030
6423121124244
754523211131
oct13751204204
94124381481
101604651140
11753869174
12389489684
131c75a3b21
14113185588
1595d1c2ca
hex5fa50884

1604651140 has 48 divisors (see below), whose sum is σ = 3483131904. Its totient is φ = 620323200.

The previous prime is 1604651129. The next prime is 1604651149. The reversal of 1604651140 is 411564061.

It is a super-2 number, since 2×16046511402 = 5149810562206599200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1604651099 and 1604651108.

It is not an unprimeable number, because it can be changed into a prime (1604651149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 672750 + ... + 675130.

It is an arithmetic number, because the mean of its divisors is an integer number (72565248).

Almost surely, 21604651140 is an apocalyptic number.

1604651140 is a gapful number since it is divisible by the number (10) 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 1604651140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741565952).

1604651140 is an abundant number, since it is smaller than the sum of its proper divisors (1878480764).

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

1604651140 is a wasteful number, since it uses less digits than its factorization.

1604651140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1604651140 is about 40058.0970591465. The cubic root of 1604651140 is about 1170.7393335234.

The spelling of 1604651140 in words is "one billion, six hundred four million, six hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1087 2174 2381 4348 4762 5435 9524 10870 11905 21740 23810 33697 47620 67394 73811 134788 147622 168485 295244 336970 369055 673940 738110 1476220 2588147 5176294 10352588 12940735 25881470 51762940 80232557 160465114 320930228 401162785 802325570 1604651140