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806993670 = 235710337309
BaseRepresentation
bin110000000110011…
…011111100000110
32002020111112012110
4300012123330012
53123042244140
6212024401450
725666222140
oct6006337406
92066445173
10806993670
1138458831a
121a6316286
13cb261262
1479269c90
154aca9380
hex3019bf06

806993670 has 64 divisors (see below), whose sum is σ = 2235018240. Its totient is φ = 182659968.

The previous prime is 806993657. The next prime is 806993711. The reversal of 806993670 is 76399608.

It is a happy number.

It is a Curzon number.

It is a congruent number.

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, 2976 + ... + 40284.

It is an arithmetic number, because the mean of its divisors is an integer number (34922160).

Almost surely, 2806993670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806993670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117509120).

806993670 is an abundant number, since it is smaller than the sum of its proper divisors (1428024570).

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

806993670 is a wasteful number, since it uses less digits than its factorization.

806993670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37429.

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 806993670 is about 28407.6340091884. The cubic root of 806993670 is about 931.0150669623.

The spelling of 806993670 in words is "eight hundred six million, nine hundred ninety-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 515 618 721 1030 1442 1545 2163 3090 3605 4326 7210 10815 21630 37309 74618 111927 186545 223854 261163 373090 522326 559635 783489 1119270 1305815 1566978 2611630 3842827 3917445 7685654 7834890 11528481 19214135 23056962 26899789 38428270 53799578 57642405 80699367 115284810 134498945 161398734 268997890 403496835 806993670