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668618320 = 245531031531
BaseRepresentation
bin100111110110100…
…100111001010000
31201121010022220111
4213312210321100
52332131241240
6150202451104
722366106356
oct4766447120
91647108814
10668618320
11313465927
12167b03a94
13a86a2556
1464b297d6
153da741ea
hex27da4e50

668618320 has 80 divisors (see below), whose sum is σ = 1600290432. Its totient is φ = 259683840.

The previous prime is 668618311. The next prime is 668618329. The reversal of 668618320 is 23816866.

668618320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (668618311) and next prime (668618329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668618329) 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, 435955 + ... + 437485.

Almost surely, 2668618320 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 668618320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800145216).

668618320 is an abundant number, since it is smaller than the sum of its proper divisors (931672112).

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

668618320 is a wasteful number, since it uses less digits than its factorization.

668618320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 668618320 is about 25857.6549594119. The cubic root of 668618320 is about 874.4320973433.

The spelling of 668618320 in words is "six hundred sixty-eight million, six hundred eighteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 103 106 206 212 265 412 424 515 530 824 848 1030 1060 1531 1648 2060 2120 3062 4120 4240 5459 6124 7655 8240 10918 12248 15310 21836 24496 27295 30620 43672 54590 61240 81143 87344 109180 122480 157693 162286 218360 315386 324572 405715 436720 630772 649144 788465 811430 1261544 1298288 1576930 1622860 2523088 3153860 3245720 6307720 6491440 8357729 12615440 16715458 33430916 41788645 66861832 83577290 133723664 167154580 334309160 668618320