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668174940 = 223351279743
BaseRepresentation
bin100111110100111…
…000101001011100
31201120021210201000
4213310320221130
52332023044230
6150145150300
722362251616
oct4764705134
91646253630
10668174940
113131927a4
1216792b390
13a85787b4
1464a51db6
153d9d7b60
hex27d38a5c

668174940 has 96 divisors (see below), whose sum is σ = 2095349760. Its totient is φ = 176758848.

The previous prime is 668174939. The next prime is 668174951. The reversal of 668174940 is 49471866.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63709 + ... + 73451.

It is an arithmetic number, because the mean of its divisors is an integer number (21826560).

Almost surely, 2668174940 is an apocalyptic number.

668174940 is a gapful number since it is divisible by the number (60) 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 668174940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047674880).

668174940 is an abundant number, since it is smaller than the sum of its proper divisors (1427174820).

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

668174940 is a wasteful number, since it uses less digits than its factorization.

668174940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9888 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 668174940 is about 25849.0800610002. The cubic root of 668174940 is about 874.2387675950.

The spelling of 668174940 in words is "six hundred sixty-eight million, one hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 127 135 180 254 270 381 508 540 635 762 1143 1270 1524 1905 2286 2540 3429 3810 4572 5715 6858 7620 9743 11430 13716 17145 19486 22860 29229 34290 38972 48715 58458 68580 87687 97430 116916 146145 175374 194860 263061 292290 350748 438435 526122 584580 876870 1052244 1237361 1315305 1753740 2474722 2630610 3712083 4949444 5261220 6186805 7424166 11136249 12373610 14848332 18560415 22272498 24747220 33408747 37120830 44544996 55681245 66817494 74241660 111362490 133634988 167043735 222724980 334087470 668174940