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664982460 = 22345601683
BaseRepresentation
bin100111101000101…
…101001110111100
31201100021121110000
4213220231032330
52330213414320
6145552514300
722323154242
oct4750551674
91640247400
10664982460
1131140218a
1216684b990
13a79cb65c
1464460792
153d5a6c90
hex27a2d3bc

664982460 has 120 divisors (see below), whose sum is σ = 2092604976. Its totient is φ = 176774400.

The previous prime is 664982443. The next prime is 664982497. The reversal of 664982460 is 64289466.

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

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 973279 + ... + 973961.

Almost surely, 2664982460 is an apocalyptic number.

664982460 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 664982460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046302488).

664982460 is an abundant number, since it is smaller than the sum of its proper divisors (1427622516).

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

664982460 is a wasteful number, since it uses less digits than its factorization.

664982460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 664982460 is about 25787.2538281997. The cubic root of 664982460 is about 872.8441993550.

The spelling of 664982460 in words is "six hundred sixty-four million, nine hundred eighty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 601 683 810 1202 1366 1620 1803 2049 2404 2732 3005 3415 3606 4098 5409 6010 6147 6830 7212 8196 9015 10245 10818 12020 12294 13660 16227 18030 18441 20490 21636 24588 27045 30735 32454 36060 36882 40980 48681 54090 55323 61470 64908 73764 81135 92205 97362 108180 110646 122940 162270 184410 194724 221292 243405 276615 324540 368820 410483 486810 553230 820966 973620 1106460 1231449 1641932 2052415 2462898 3694347 4104830 4925796 6157245 7388694 8209660 11083041 12314490 14777388 18471735 22166082 24628980 33249123 36943470 44332164 55415205 66498246 73886940 110830410 132996492 166245615 221660820 332491230 664982460