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64495980 = 22335831439
BaseRepresentation
bin1111011000001…
…0000101101100
311111100201212000
43312002011230
5113002332410
610222212300
71412130633
oct366020554
9144321760
1064495980
113345186a
1219724090
1310492503
1487cc51a
1559dedc0
hex3d8216c

64495980 has 96 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 16979904.

The previous prime is 64495967. The next prime is 64495987. The reversal of 64495980 is 8959446.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (64495987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44101 + ... + 45539.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 264495980 is an apocalyptic number.

64495980 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 64495980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

64495980 is an abundant number, since it is smaller than the sum of its proper divisors (138716820).

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

64495980 is a wasteful number, since it uses less digits than its factorization.

64495980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 64495980 is about 8030.9389239366. The cubic root of 64495980 is about 401.0306338705.

The spelling of 64495980 in words is "sixty-four million, four hundred ninety-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1439 1494 1660 2241 2490 2878 2988 3735 4317 4482 4980 5756 7195 7470 8634 8964 11205 12951 14390 14940 17268 21585 22410 25902 28780 38853 43170 44820 51804 64755 77706 86340 119437 129510 155412 194265 238874 259020 358311 388530 477748 597185 716622 777060 1074933 1194370 1433244 1791555 2149866 2388740 3224799 3583110 4299732 5374665 6449598 7166220 10749330 12899196 16123995 21498660 32247990 64495980