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213305840 = 24511242393
BaseRepresentation
bin11001011011011…
…00100111110000
3112212101001121022
430231230213300
5414101241330
633055515012
75200032626
oct1455544760
9485331538
10213305840
11aa450920
125b528a68
1335265797
1420487516
1513ad6ae5
hexcb6c9f0

213305840 has 40 divisors (see below), whose sum is σ = 541023408. Its totient is φ = 77565440.

The previous prime is 213305831. The next prime is 213305857. The reversal of 213305840 is 48503312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 120317 + ... + 122076.

Almost surely, 2213305840 is an apocalyptic number.

213305840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213305840 is an abundant number, since it is smaller than the sum of its proper divisors (327717568).

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

213305840 is a wasteful number, since it uses less digits than its factorization.

213305840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242417 (or 242411 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 213305840 is about 14604.9936665512. The cubic root of 213305840 is about 597.4949632810.

The spelling of 213305840 in words is "two hundred thirteen million, three hundred five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 242393 484786 969572 1211965 1939144 2423930 2666323 3878288 4847860 5332646 9695720 10665292 13331615 19391440 21330584 26663230 42661168 53326460 106652920 213305840