Search a number
-
+
104694930 = 2345294457
BaseRepresentation
bin1100011110110…
…00010010010010
321022000001110000
412033120102102
5203300214210
614215550430
72410615014
oct617302222
9238001400
10104694930
115410893a
122b08b416
13188c8782
14dc941b4
1592d0ac0
hex63d8492

104694930 has 80 divisors (see below), whose sum is σ = 291285720. Its totient is φ = 26949888.

The previous prime is 104694893. The next prime is 104694943. The reversal of 104694930 is 39496401.

104694930 is a `hidden beast` number, since 104 + 69 + 493 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92563641 + 12131289 = 9621^2 + 3483^2 .

It is a super-2 number, since 2×1046949302 = 21922056735409800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21262 + ... + 25718.

Almost surely, 2104694930 is an apocalyptic number.

104694930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104694930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145642860).

104694930 is an abundant number, since it is smaller than the sum of its proper divisors (186590790).

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

104694930 is a wasteful number, since it uses less digits than its factorization.

104694930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 104694930 is about 10232.0540459871. The cubic root of 104694930 is about 471.3120573924.

The spelling of 104694930 in words is "one hundred four million, six hundred ninety-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4457 4698 7830 8914 11745 13371 22285 23490 26742 40113 44570 66855 80226 120339 129253 133710 200565 240678 258506 361017 387759 401130 601695 646265 722034 775518 1163277 1203390 1292530 1805085 1938795 2326554 3489831 3610170 3877590 5816385 6979662 10469493 11632770 17449155 20938986 34898310 52347465 104694930