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64997640 = 23375743
BaseRepresentation
bin1111011111110…
…0100100001000
311112022020000000
43313330210020
5113114411030
610241043000
71416320331
oct367744410
9145266000
1064997640
1133764764
1219926460
1310609956
1488bd288
155a8d860
hex3dfc908

64997640 has 128 divisors (see below), whose sum is σ = 219628800. Its totient is φ = 17309376.

The previous prime is 64997633. The next prime is 64997687. The reversal of 64997640 is 4679946.

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

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, 87109 + ... + 87851.

It is an arithmetic number, because the mean of its divisors is an integer number (1715850).

Almost surely, 264997640 is an apocalyptic number.

64997640 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 64997640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109814400).

64997640 is an abundant number, since it is smaller than the sum of its proper divisors (154631160).

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

64997640 is an equidigital number, since it uses as much as digits as its factorization.

64997640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 64997640 is about 8062.1113859832. Note that the first 3 decimals coincide. The cubic root of 64997640 is about 402.0677096909.

It can be divided in two parts, 649 and 97640, that added together give a palindrome (98289).

The spelling of 64997640 in words is "sixty-four million, nine hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 743 810 972 1080 1215 1458 1486 1620 1944 2187 2229 2430 2916 2972 3240 3645 3715 4374 4458 4860 5832 5944 6687 7290 7430 8748 8916 9720 10935 11145 13374 14580 14860 17496 17832 20061 21870 22290 26748 29160 29720 33435 40122 43740 44580 53496 60183 66870 80244 87480 89160 100305 120366 133740 160488 180549 200610 240732 267480 300915 361098 401220 481464 541647 601830 722196 802440 902745 1083294 1203660 1444392 1624941 1805490 2166588 2407320 2708235 3249882 3610980 4333176 5416470 6499764 7221960 8124705 10832940 12999528 16249410 21665880 32498820 64997640