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668119104 = 26343592
BaseRepresentation
bin100111110100101…
…011000001000000
31201120011222010000
4213310223001000
52332014302404
6150144040000
722361630052
oct4764530100
91646158100
10668119104
11313154854
12167903000
13a8559263
1464a398d2
153d9c6339
hex27d2b040

668119104 has 105 divisors (see below), whose sum is σ = 1986046447. Its totient is φ = 222086016.

The previous prime is 668119073. The next prime is 668119163. The reversal of 668119104 is 401911866.

It is a happy number.

The square root of 668119104 is 25848.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1860877 + ... + 1861235.

Almost surely, 2668119104 is an apocalyptic number.

668119104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

668119104 is the 25848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668119104

668119104 is an abundant number, since it is smaller than the sum of its proper divisors (1317927343).

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

668119104 is an frugal number, since it uses more digits than its factorization.

668119104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The cubic root of 668119104 is about 874.2144150128.

Multiplying 668119104 by its sum of digits (36), we get a square (24052287744 = 1550882).

668119104 divided by its sum of digits (36) gives a square (18558864 = 43082).

The spelling of 668119104 in words is "six hundred sixty-eight million, one hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 359 432 576 648 718 864 1077 1296 1436 1728 2154 2592 2872 3231 4308 5184 5744 6462 8616 9693 11488 12924 17232 19386 22976 25848 29079 34464 38772 51696 58158 68928 77544 103392 116316 128881 155088 206784 232632 257762 310176 386643 465264 515524 620352 773286 930528 1031048 1159929 1546572 1861056 2062096 2319858 3093144 3479787 4124192 4639716 6186288 6959574 8248384 9279432 10439361 12372576 13919148 18558864 20878722 24745152 27838296 37117728 41757444 55676592 74235456 83514888 111353184 167029776 222706368 334059552 668119104