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812407640 = 235111012181
BaseRepresentation
bin110000011011000…
…101101101011000
32002121200120202212
4300123011231120
53130434021030
6212340414252
726063231252
oct6033055530
92077616685
10812407640
11387645980
121a80a7388
13cc4085a5
1479c78cd2
154b4c8595
hex306c5b58

812407640 has 96 divisors (see below), whose sum is σ = 2025157680. Its totient is φ = 290880000.

The previous prime is 812407621. The next prime is 812407649. The reversal of 812407640 is 46704218.

It is a junction number, because it is equal to n+sod(n) for n = 812407597 and 812407606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812407649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4488350 + ... + 4488530.

Almost surely, 2812407640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812407640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012578840).

812407640 is an abundant number, since it is smaller than the sum of its proper divisors (1212750040).

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

812407640 is a wasteful number, since it uses less digits than its factorization.

812407640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 812407640 is about 28502.7654798618. The cubic root of 812407640 is about 933.0924304562.

The spelling of 812407640 in words is "eight hundred twelve million, four hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 181 202 220 362 404 440 505 724 808 905 1010 1111 1448 1810 1991 2020 2222 3620 3982 4040 4444 5555 7240 7964 8888 9955 10201 11110 15928 18281 19910 20402 22220 36562 39820 40804 44440 51005 73124 79640 81608 91405 102010 112211 146248 182810 201091 204020 224422 365620 402182 408040 448844 561055 731240 804364 897688 1005455 1122110 1608728 1846381 2010910 2244220 3692762 4021820 4488440 7385524 8043640 9231905 14771048 18463810 20310191 36927620 40620382 73855240 81240764 101550955 162481528 203101910 406203820 812407640