Search a number
-
+
215339904 = 2733134793
BaseRepresentation
bin11001101010111…
…01001110000000
3120000012101211000
430311131032000
5420111334104
633211252000
75223234063
oct1465351600
9500171730
10215339904
1110061006a
126014a000
13357c8580
14208568da
1513d89639
hexcd5d380

215339904 has 128 divisors (see below), whose sum is σ = 684583200. Its totient is φ = 66244608.

The previous prime is 215339899. The next prime is 215339909. The reversal of 215339904 is 409933512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (215339899) and next prime (215339909).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215339909) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42532 + ... + 47324.

Almost surely, 2215339904 is an apocalyptic number.

215339904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215339904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342291600).

215339904 is an abundant number, since it is smaller than the sum of its proper divisors (469243296).

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

215339904 is a wasteful number, since it uses less digits than its factorization.

215339904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 215339904 is about 14674.4643513826. The cubic root of 215339904 is about 599.3881763317.

The spelling of 215339904 in words is "two hundred fifteen million, three hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4793 4992 5616 7488 9586 11232 14379 14976 19172 22464 28758 38344 43137 44928 57516 62309 76688 86274 115032 124618 129411 153376 172548 186927 230064 249236 258822 306752 345096 373854 460128 498472 517644 560781 613504 690192 747708 920256 996944 1035288 1121562 1380384 1495416 1682343 1840512 1993888 2070576 2243124 2760768 2990832 3364686 3987776 4141152 4486248 5521536 5981664 6729372 7975552 8282304 8972496 11963328 13458744 16564608 17944992 23926656 26917488 35889984 53834976 71779968 107669952 215339904