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104024430 = 232519127479
BaseRepresentation
bin1100011001101…
…00100101101110
321020201222200200
412030310211232
5203112240210
614153334330
72402123136
oct614644556
9236658620
10104024430
11537a0104
122aa073a6
1318722523
14db5bac6
1591ec0c0
hex633496e

104024430 has 96 divisors (see below), whose sum is σ = 287539200. Its totient is φ = 26018496.

The previous prime is 104024429. The next prime is 104024441. The reversal of 104024430 is 34420401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216931 + ... + 217409.

It is an arithmetic number, because the mean of its divisors is an integer number (2995200).

Almost surely, 2104024430 is an apocalyptic number.

104024430 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 104024430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143769600).

104024430 is an abundant number, since it is smaller than the sum of its proper divisors (183514770).

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

104024430 is a wasteful number, since it uses less digits than its factorization.

104024430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 104024430 is about 10199.2367361484. The cubic root of 104024430 is about 470.3037571654.

Adding to 104024430 its reverse (34420401), we get a palindrome (138444831).

The spelling of 104024430 in words is "one hundred four million, twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 127 171 190 254 285 342 381 479 570 635 762 855 958 1143 1270 1437 1710 1905 2286 2395 2413 2874 3810 4311 4790 4826 5715 7185 7239 8622 9101 11430 12065 14370 14478 18202 21555 21717 24130 27303 36195 43110 43434 45505 54606 60833 72390 81909 91010 108585 121666 136515 163818 182499 217170 273030 304165 364998 409545 547497 608330 819090 912495 1094994 1155827 1824990 2311654 2737485 3467481 5474970 5779135 6934962 10402443 11558270 17337405 20804886 34674810 52012215 104024430