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720916992 = 29321011549
BaseRepresentation
bin101010111110000…
…101001000000000
31212020112101012100
4222332011020000
52434023320432
6155311430400
723602456545
oct5276051000
91766471170
10720916992
1133aa36674
12181525400
13b6484003
146ba60bcc
154345507c
hex2af85200

720916992 has 120 divisors (see below), whose sum is σ = 2102571900. Its totient is φ = 237772800.

The previous prime is 720916957. The next prime is 720917017. The reversal of 720916992 is 299619027.

It can be written as a sum of positive squares in 2 ways, for example, as 689377536 + 31539456 = 26256^2 + 5616^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464634 + ... + 466182.

Almost surely, 2720916992 is an apocalyptic number.

720916992 is a gapful number since it is divisible by the number (72) 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 720916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051285950).

720916992 is an abundant number, since it is smaller than the sum of its proper divisors (1381654908).

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

720916992 is a wasteful number, since it uses less digits than its factorization.

720916992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 720916992 is about 26849.8974299717. The cubic root of 720916992 is about 896.6612890292.

The spelling of 720916992 in words is "seven hundred twenty million, nine hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 512 576 606 768 808 909 1152 1212 1536 1549 1616 1818 2304 2424 3098 3232 3636 4608 4647 4848 6196 6464 7272 9294 9696 12392 12928 13941 14544 18588 19392 24784 25856 27882 29088 37176 38784 49568 51712 55764 58176 74352 77568 99136 111528 116352 148704 155136 156449 198272 223056 232704 297408 312898 396544 446112 465408 469347 594816 625796 793088 892224 938694 1189632 1251592 1408041 1784448 1877388 2379264 2503184 2816082 3568896 3754776 5006368 5632164 7137792 7509552 10012736 11264328 15019104 20025472 22528656 30038208 40050944 45057312 60076416 80101888 90114624 120152832 180229248 240305664 360458496 720916992