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1690529984 = 26111331093
BaseRepresentation
bin110010011000011…
…0111000011000000
311100211000211011122
41210300313003000
511430233424414
6435425531412
756615160563
oct14460670300
94324024148
101690529984
11798295220
123b21a3b68
1320c312000
1412073c4da
159d632b8e
hex64c370c0

1690529984 has 112 divisors (see below), whose sum is σ = 3968069280. Its totient is φ = 708664320.

The previous prime is 1690529977. The next prime is 1690529987. The reversal of 1690529984 is 4899250961.

It is not an unprimeable number, because it can be changed into a prime (1690529987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1546142 + ... + 1547234.

It is an arithmetic number, because the mean of its divisors is an integer number (35429190).

Almost surely, 21690529984 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 1690529984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984034640).

1690529984 is an abundant number, since it is smaller than the sum of its proper divisors (2277539296).

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

1690529984 is a wasteful number, since it uses less digits than its factorization.

1690529984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 53.

The square root of 1690529984 is about 41116.0550636853. The cubic root of 1690529984 is about 1191.2629258529.

The spelling of 1690529984 in words is "one billion, six hundred ninety million, five hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 169 176 208 286 338 352 416 572 676 704 832 1093 1144 1352 1859 2186 2197 2288 2704 3718 4372 4394 4576 5408 7436 8744 8788 9152 10816 12023 14209 14872 17488 17576 24046 24167 28418 29744 34976 35152 48092 48334 56836 59488 69952 70304 96184 96668 113672 118976 140608 156299 184717 192368 193336 227344 312598 369434 384736 386672 454688 625196 738868 769472 773344 909376 1250392 1477736 1546688 2031887 2401321 2500784 2955472 4063774 4802642 5001568 5910944 8127548 9605284 10003136 11821888 16255096 19210568 26414531 32510192 38421136 52829062 65020384 76842272 105658124 130040768 153684544 211316248 422632496 845264992 1690529984