Search a number
-
+
10417240320 = 28352712823
BaseRepresentation
bin10011011001110101…
…00111100100000000
3222212222212122020120
421230322213210000
5132313303142240
64441405340240
7516102040014
oct115472474400
928788778216
1010417240320
114466295923
122028867680
13ca0287036
1470b734544
1540e829ad0
hex26cea7900

10417240320 has 72 divisors (see below), whose sum is σ = 33270073536. Its totient is φ = 2777929728.

The previous prime is 10417240303. The next prime is 10417240343. The reversal of 10417240320 is 2304271401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1352572 + ... + 1360251.

Almost surely, 210417240320 is an apocalyptic number.

10417240320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10417240320 is an abundant number, since it is smaller than the sum of its proper divisors (22852833216).

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

10417240320 is an equidigital number, since it uses as much as digits as its factorization.

10417240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712847 (or 2712833 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 10417240320 in words is "ten billion, four hundred seventeen million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 2712823 5425646 8138469 10851292 13564115 16276938 21702584 27128230 32553876 40692345 43405168 54256460 65107752 81384690 86810336 108512920 130215504 162769380 173620672 217025840 260431008 325538760 347241344 434051680 520862016 651077520 694482688 868103360 1041724032 1302155040 1736206720 2083448064 2604310080 3472413440 5208620160 10417240320