Search a number
-
+
104434920 = 2334532233
BaseRepresentation
bin1100011100110…
…00110011101000
321021111211210000
412032120303220
5203213404140
614210223000
72405452662
oct616306350
9237454700
10104434920
1153a50557
122ab84a60
1318837315
14dc27532
15927da30
hex6398ce8

104434920 has 80 divisors (see below), whose sum is σ = 351028260. Its totient is φ = 27848448.

The previous prime is 104434907. The next prime is 104434949. The reversal of 104434920 is 29434401.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 272484 = 10206^2 + 522^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12877 + ... + 19356.

Almost surely, 2104434920 is an apocalyptic number.

104434920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104434920 is an abundant number, since it is smaller than the sum of its proper divisors (246593340).

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

104434920 is a wasteful number, since it uses less digits than its factorization.

104434920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32256 (or 32243 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 104434920 is about 10219.3404875266. The cubic root of 104434920 is about 470.9215659081.

The spelling of 104434920 in words is "one hundred four million, four hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 32233 64466 96699 128932 161165 193398 257864 290097 322330 386796 483495 580194 644660 773592 870291 966990 1160388 1289320 1450485 1740582 1933980 2320776 2610873 2900970 3481164 3867960 4351455 5221746 5801940 6962328 8702910 10443492 11603880 13054365 17405820 20886984 26108730 34811640 52217460 104434920