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802135684 = 2274174
BaseRepresentation
bin101111110011111…
…001111010000100
32001220100201022001
4233303321322010
53120321320214
6211332315044
725610020000
oct5763717204
92056321261
10802135684
1138186a459
121a4772a84
13ca24cccc
1478763700
154a649c74
hex2fcf9e84

802135684 has 75 divisors (see below), whose sum is σ = 1739944787. Its totient is φ = 323550528.

The previous prime is 802135681. The next prime is 802135723. The reversal of 802135684 is 486531208.

It is a happy number.

The square root of 802135684 is 28322.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 248945284 + 553190400 = 15778^2 + 23520^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=119.

It is a super-2 number, since 2×8021356842 = 1286843311092295712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (802135681) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 47184444 + ... + 47184460.

Almost surely, 2802135684 is an apocalyptic number.

802135684 is the 28322-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802135684

802135684 is an abundant number, since it is smaller than the sum of its proper divisors (937809103).

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

802135684 is an frugal number, since it uses more digits than its factorization.

802135684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The cubic root of 802135684 is about 929.1431132918.

The spelling of 802135684 in words is "eight hundred two million, one hundred thirty-five thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 343 476 578 686 833 1156 1372 1666 2023 2401 3332 4046 4802 4913 5831 8092 9604 9826 11662 14161 19652 23324 28322 34391 40817 56644 68782 81634 83521 99127 137564 163268 167042 198254 240737 334084 396508 481474 584647 693889 962948 1169294 1387778 1685159 2338588 2775556 3370318 4092529 6740636 8185058 11796113 16370116 23592226 28647703 47184452 57295406 114590812 200533921 401067842 802135684