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660640968 = 2333131491579
BaseRepresentation
bin100111011000001…
…001010011001000
31201001010001001000
4213120021103020
52323111002333
6145315455000
722241232651
oct4730112310
91631101030
10660640968
11309a07379
121652b7460
13a6b3b520
1463a50528
153ceea713
hex276094c8

660640968 has 128 divisors (see below), whose sum is σ = 1990800000. Its totient is φ = 201782016.

The previous prime is 660640943. The next prime is 660640973. The reversal of 660640968 is 869046066.

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

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, 417603 + ... + 419181.

It is an arithmetic number, because the mean of its divisors is an integer number (15553125).

Almost surely, 2660640968 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 660640968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995400000).

660640968 is an abundant number, since it is smaller than the sum of its proper divisors (1330159032).

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

660640968 is a wasteful number, since it uses less digits than its factorization.

660640968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 660640968 is about 25702.9369528076. The cubic root of 660640968 is about 870.9405286376.

It can be divided in two parts, 6606 and 40968, that added together give a palindrome (47574).

The spelling of 660640968 in words is "six hundred sixty million, six hundred forty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 149 156 216 234 298 312 351 447 468 596 702 894 936 1192 1341 1404 1579 1788 1937 2682 2808 3158 3576 3874 4023 4737 5364 5811 6316 7748 8046 9474 10728 11622 12632 14211 15496 16092 17433 18948 20527 23244 28422 32184 34866 37896 41054 42633 46488 52299 56844 61581 69732 82108 85266 104598 113688 123162 139464 164216 170532 184743 209196 235271 246324 341064 369486 418392 470542 492648 554229 705813 738972 941084 1108458 1411626 1477944 1882168 2117439 2216916 2823252 3058523 4234878 4433832 5646504 6117046 6352317 8469756 9175569 12234092 12704634 16939512 18351138 24468184 25409268 27526707 36702276 50818536 55053414 73404552 82580121 110106828 165160242 220213656 330320484 660640968