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1290681704 = 2313196411019
BaseRepresentation
bin100110011101110…
…0011110101101000
310022221122102110002
41030323203311220
510120403303304
6332023442132
743661420264
oct11473436550
93287572402
101290681704
116026132a4
123002b6348
131775247b0
14c35b70a4
157849e31e
hex4cee3d68

1290681704 has 64 divisors (see below), whose sum is σ = 2750328000. Its totient is φ = 562913280.

The previous prime is 1290681659. The next prime is 1290681713. The reversal of 1290681704 is 4071860921.

It is a super-2 number, since 2×12906817042 = 3331718522080687232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266107 + ... + 1267125.

It is an arithmetic number, because the mean of its divisors is an integer number (42973875).

Almost surely, 21290681704 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 1290681704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375164000).

1290681704 is an abundant number, since it is smaller than the sum of its proper divisors (1459646296).

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

1290681704 is a wasteful number, since it uses less digits than its factorization.

1290681704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 1290681704 is about 35926.0588431295. The cubic root of 1290681704 is about 1088.7789553106.

The spelling of 1290681704 in words is "one billion, two hundred ninety million, six hundred eighty-one thousand, seven hundred four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 641 988 1019 1282 1976 2038 2564 4076 5128 8152 8333 12179 13247 16666 19361 24358 26494 33332 38722 48716 52988 66664 77444 97432 105976 154888 158327 251693 316654 503386 633308 653179 1006772 1266616 1306358 2013544 2612716 5225432 8491327 12410401 16982654 24820802 33965308 49641604 67930616 99283208 161335213 322670426 645340852 1290681704