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1690259136 = 263174312043
BaseRepresentation
bin110010010111111…
…0100111011000000
311100210112001122020
41210233310323000
511430201243021
6435420041440
756612652126
oct14457647300
94323461566
101690259136
1179811a785
123b2093280
1320c248947
141206ab916
159d5cc7c6
hex64bf4ec0

1690259136 has 112 divisors (see below), whose sum is σ = 4845734784. Its totient is φ = 517902336.

The previous prime is 1690259111. The next prime is 1690259141. The reversal of 1690259136 is 6319520961.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134331 + ... + 146373.

Almost surely, 21690259136 is an apocalyptic number.

1690259136 is a gapful number since it is divisible by the number (16) 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 1690259136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422867392).

1690259136 is an abundant number, since it is smaller than the sum of its proper divisors (3155475648).

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

1690259136 is a wasteful number, since it uses less digits than its factorization.

1690259136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12118 (or 12108 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 1690259136 is about 41112.7612305474. The cubic root of 1690259136 is about 1191.1993031199.

The spelling of 1690259136 in words is "one billion, six hundred ninety million, two hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 129 136 172 192 204 258 272 344 408 516 544 688 731 816 1032 1088 1376 1462 1632 2064 2193 2752 2924 3264 4128 4386 5848 8256 8772 11696 12043 17544 23392 24086 35088 36129 46784 48172 70176 72258 96344 140352 144516 192688 204731 289032 385376 409462 517849 578064 614193 770752 818924 1035698 1156128 1228386 1553547 1637848 2071396 2312256 2456772 3107094 3275696 4142792 4913544 6214188 6551392 8285584 8803433 9827088 12428376 13102784 16571168 17606866 19654176 24856752 26410299 33142336 35213732 39308352 49713504 52820598 70427464 99427008 105641196 140854928 211282392 281709856 422564784 563419712 845129568 1690259136