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868762640 = 2451572632
BaseRepresentation
bin110011110010000…
…100010000010000
32020112201201022002
4303302010100100
53234400401030
6222112333132
730346234454
oct6362042020
92215651262
10868762640
11406437259
12202b441a8
1310acaa445
1483548664
155140b245
hex33c84410

868762640 has 60 divisors (see below), whose sum is σ = 2040497004. Its totient is φ = 343978752.

The previous prime is 868762633. The next prime is 868762663. The reversal of 868762640 is 46267868.

It can be written as a sum of positive squares in 2 ways, for example, as 283316224 + 585446416 = 16832^2 + 24196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3303149 + ... + 3303411.

Almost surely, 2868762640 is an apocalyptic number.

868762640 is a gapful number since it is divisible by the number (80) 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 868762640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020248502).

868762640 is an abundant number, since it is smaller than the sum of its proper divisors (1171734364).

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

868762640 is a wasteful number, since it uses less digits than its factorization.

868762640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The square root of 868762640 is about 29474.7797277605. The cubic root of 868762640 is about 954.1874762491.

The spelling of 868762640 in words is "eight hundred sixty-eight million, seven hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 263 314 526 628 785 1052 1256 1315 1570 2104 2512 2630 3140 4208 5260 6280 10520 12560 21040 41291 69169 82582 138338 165164 206455 276676 330328 345845 412910 553352 660656 691690 825820 1106704 1383380 1651640 2766760 3303280 5533520 10859533 21719066 43438132 54297665 86876264 108595330 173752528 217190660 434381320 868762640