Search a number
-
+
104148765 = 32572149317
BaseRepresentation
bin1100011010100…
…10111100011101
321020222022020200
412031102330131
5203130230030
614200134113
72403151500
oct615227435
9236868220
10104148765
1153875566
122aa67339
1318766cb6
14db91137
159223d60
hex6352f1d

104148765 has 72 divisors (see below), whose sum is σ = 212074200. Its totient is φ = 47142144.

The previous prime is 104148739. The next prime is 104148787. The reversal of 104148765 is 567841401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2965284 + 101183481 = 1722^2 + 10059^2 .

It is not a de Polignac number, because 104148765 - 27 = 104148637 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 328387 + ... + 328703.

It is an arithmetic number, because the mean of its divisors is an integer number (2945475).

Almost surely, 2104148765 is an apocalyptic number.

104148765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104148765 is an abundant number, since it is smaller than the sum of its proper divisors (107925435).

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

104148765 is a wasteful number, since it uses less digits than its factorization.

104148765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 104148765 is about 10205.3302249364. The cubic root of 104148765 is about 470.4910591150.

The spelling of 104148765 in words is "one hundred four million, one hundred forty-eight thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 149 245 315 317 441 447 735 745 951 1043 1341 1585 2205 2219 2235 2853 3129 4755 5215 6657 6705 7301 9387 11095 14265 15533 15645 19971 21903 33285 36505 46599 46935 47233 65709 77665 99855 109515 139797 141699 232995 236165 328545 330631 425097 698985 708495 991893 1653155 2125485 2314417 2975679 4959465 6943251 11572085 14878395 20829753 34716255 104148765