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1640557464 = 2337131375483
BaseRepresentation
bin110000111001000…
…1110101110011000
311020022222221202120
41201302032232120
511324440314324
6430442501240
755440336240
oct14162165630
94208887676
101640557464
11772063117
12399504820
13201b66280
14117c50b20
1599061179
hex61c8eb98

1640557464 has 128 divisors (see below), whose sum is σ = 5085642240. Its totient is φ = 429437952.

The previous prime is 1640557459. The next prime is 1640557483. The reversal of 1640557464 is 4647550461.

It is a super-2 number, since 2×16405574642 = 5382857585372222592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296467 + ... + 301949.

It is an arithmetic number, because the mean of its divisors is an integer number (39731580).

Almost surely, 21640557464 is an apocalyptic number.

1640557464 is a gapful number since it is divisible by the number (14) 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 1640557464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542821120).

1640557464 is an abundant number, since it is smaller than the sum of its proper divisors (3445084776).

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

1640557464 is a wasteful number, since it uses less digits than its factorization.

1640557464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5649 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 1640557464 is about 40503.7956739859. The cubic root of 1640557464 is about 1179.4073112796.

The spelling of 1640557464 in words is "one billion, six hundred forty million, five hundred fifty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 137 156 168 182 273 274 312 364 411 546 548 728 822 959 1092 1096 1644 1781 1918 2184 2877 3288 3562 3836 5343 5483 5754 7124 7672 10686 10966 11508 12467 14248 16449 21372 21932 23016 24934 32898 37401 38381 42744 43864 49868 65796 71279 74802 76762 99736 115143 131592 142558 149604 153524 213837 230286 285116 299208 307048 427674 460572 498953 570232 751171 855348 921144 997906 1496859 1502342 1710696 1995812 2253513 2993718 3004684 3991624 4507026 5258197 5987436 6009368 9014052 9765223 10516394 11974872 15774591 18028104 19530446 21032788 29295669 31549182 39060892 42065576 58591338 63098364 68356561 78121784 117182676 126196728 136713122 205069683 234365352 273426244 410139366 546852488 820278732 1640557464