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64145680 = 2452943643
BaseRepresentation
bin1111010010110…
…0100100010000
311110200221022221
43310230210100
5112410130210
610210510424
71406141434
oct364544420
9143627287
1064145680
1133232665
1219595414
131039bc31
14873a9c4
1559711da
hex3d2c910

64145680 has 80 divisors (see below), whose sum is σ = 158114880. Its totient is φ = 24159744.

The previous prime is 64145671. The next prime is 64145681. The reversal of 64145680 is 8654146.

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

It is a super-2 number, since 2×641456802 = 8229336525324800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64145681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99439 + ... + 100081.

It is an arithmetic number, because the mean of its divisors is an integer number (1976436).

Almost surely, 264145680 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 64145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79057440).

64145680 is an abundant number, since it is smaller than the sum of its proper divisors (93969200).

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

64145680 is a wasteful number, since it uses less digits than its factorization.

64145680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 64145680 is about 8009.0998245745. The cubic root of 64145680 is about 400.3032700101.

The spelling of 64145680 in words is "sixty-four million, one hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 116 145 172 215 232 290 344 430 464 580 643 688 860 1160 1247 1286 1720 2320 2494 2572 3215 3440 4988 5144 6235 6430 9976 10288 12470 12860 18647 19952 24940 25720 27649 37294 49880 51440 55298 74588 93235 99760 110596 138245 149176 186470 221192 276490 298352 372940 442384 552980 745880 801821 1105960 1491760 1603642 2211920 3207284 4009105 6414568 8018210 12829136 16036420 32072840 64145680