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64831020 = 223523109431
BaseRepresentation
bin1111011101001…
…1111000101100
311111222202102220
43313103320230
5113044043040
610233315340
71415024502
oct367237054
9144882386
1064831020
1133660561
1219865b50
131057bb67
148878672
155a592d0
hex3dd3e2c

64831020 has 96 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 16346880.

The previous prime is 64831007. The next prime is 64831027. The reversal of 64831020 is 2013846.

It is a happy number.

It is a super-2 number, since 2×648310202 = 8406122308480800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64831027) 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, 150205 + ... + 150635.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 264831020 is an apocalyptic number.

64831020 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 64831020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

64831020 is an abundant number, since it is smaller than the sum of its proper divisors (126769620).

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

64831020 is a wasteful number, since it uses less digits than its factorization.

64831020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 64831020 is about 8051.7712337100. The cubic root of 64831020 is about 401.7238518315.

Adding to 64831020 its reverse (2013846), we get a palindrome (66844866).

It can be divided in two parts, 6483 and 1020, that added together give a triangular number (7503 = T122).

The spelling of 64831020 in words is "sixty-four million, eight hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 109 115 138 218 230 276 327 345 431 436 460 545 654 690 862 1090 1293 1308 1380 1635 1724 2155 2180 2507 2586 3270 4310 5014 5172 6465 6540 7521 8620 9913 10028 12535 12930 15042 19826 25070 25860 29739 30084 37605 39652 46979 49565 50140 59478 75210 93958 99130 118956 140937 148695 150420 187916 198260 234895 281874 297390 469790 563748 594780 704685 939580 1080517 1409370 2161034 2818740 3241551 4322068 5402585 6483102 10805170 12966204 16207755 21610340 32415510 64831020