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816313420 = 225135359239
BaseRepresentation
bin110000101001111…
…111010001001100
32002220001000111101
4300221333101030
53132434012140
6213000232444
726141356336
oct6051772114
92086030441
10816313420
1138987339a
121a946b724
131001752c0
147a5b4456
154b9ea99a
hex30a7f44c

816313420 has 48 divisors (see below), whose sum is σ = 1880988480. Its totient is φ = 295716096.

The previous prime is 816313409. The next prime is 816313423. The reversal of 816313420 is 24313618.

816313420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (816313423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15840 + ... + 43399.

It is an arithmetic number, because the mean of its divisors is an integer number (39187260).

Almost surely, 2816313420 is an apocalyptic number.

It is an amenable number.

816313420 is an abundant number, since it is smaller than the sum of its proper divisors (1064675060).

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

816313420 is a wasteful number, since it uses less digits than its factorization.

816313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59314 (or 59312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 816313420 is about 28571.1991347931. The cubic root of 816313420 is about 934.5853709832.

The spelling of 816313420 in words is "eight hundred sixteen million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6890 13780 59239 118478 236956 296195 592390 770107 1184780 1540214 3080428 3139667 3850535 6279334 7701070 12558668 15402140 15698335 31396670 40815671 62793340 81631342 163262684 204078355 408156710 816313420