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213064410 = 235132323753
BaseRepresentation
bin11001011001100…
…01101011011010
3112211220210102110
430230301223122
5414021030120
633050413150
75165006016
oct1454615332
9484823373
10213064410
11aa2a6499
125b4311b6
13351ac920
1420423546
1513a8a2e0
hexcb31ada

213064410 has 64 divisors (see below), whose sum is σ = 574656768. Its totient is φ = 50164224.

The previous prime is 213064393. The next prime is 213064429. The reversal of 213064410 is 14460312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2907 + ... + 20846.

It is an arithmetic number, because the mean of its divisors is an integer number (8979012).

Almost surely, 2213064410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213064410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287328384).

213064410 is an abundant number, since it is smaller than the sum of its proper divisors (361592358).

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

213064410 is a wasteful number, since it uses less digits than its factorization.

213064410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23799.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 213064410 is about 14596.7260027720. The cubic root of 213064410 is about 597.2694534879.

The spelling of 213064410 in words is "two hundred thirteen million, sixty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1794 2990 4485 8970 23753 47506 71259 118765 142518 237530 308789 356295 546319 617578 712590 926367 1092638 1543945 1638957 1852734 2731595 3087890 3277914 4631835 5463190 7102147 8194785 9263670 14204294 16389570 21306441 35510735 42612882 71021470 106532205 213064410