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690272064 = 2633419743
BaseRepresentation
bin101001001001001…
…011011101000000
31210002212110021000
4221021023131000
52403202201224
6152254532000
723051133666
oct5111133500
91702773230
10690272064
11324705689
12173207000
13b0014611
1467964c36
15409000c9
hex2924b740

690272064 has 112 divisors (see below), whose sum is σ = 2078979840. Its totient is φ = 224455680.

The previous prime is 690272047. The next prime is 690272069. The reversal of 690272064 is 460272096.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690272069) 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, 65977 + ... + 75719.

It is an arithmetic number, because the mean of its divisors is an integer number (18562320).

Almost surely, 2690272064 is an apocalyptic number.

690272064 is a gapful number since it is divisible by the number (64) 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 690272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039489920).

690272064 is an abundant number, since it is smaller than the sum of its proper divisors (1388707776).

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

690272064 is a wasteful number, since it uses less digits than its factorization.

690272064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805 (or 9789 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 690272064 is about 26273.0292124833. The cubic root of 690272064 is about 883.7717174985.

The spelling of 690272064 in words is "six hundred ninety million, two hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1312 1476 1728 1968 2214 2624 2952 3936 4428 5904 7872 8856 9743 11808 17712 19486 23616 29229 35424 38972 58458 70848 77944 87687 116916 155888 175374 233832 263061 311776 350748 399463 467664 526122 623552 701496 798926 935328 1052244 1198389 1402992 1597852 1870656 2104488 2396778 2805984 3195704 3595167 4208976 4793556 5611968 6391408 7190334 8417952 9587112 10785501 12782816 14380668 16835904 19174224 21571002 25565632 28761336 38348448 43142004 57522672 76696896 86284008 115045344 172568016 230090688 345136032 690272064