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64103620 = 22572631741
BaseRepresentation
bin1111010010001…
…0010011000100
311110121210122011
43310202103010
5112402303440
610205544004
71405605010
oct364422304
9143553564
1064103620
1133203aa9
1219575004
1310385a49
148729540
1559639ea
hex3d224c4

64103620 has 48 divisors (see below), whose sum is σ = 154522368. Its totient is φ = 21882240.

The previous prime is 64103609. The next prime is 64103693. The reversal of 64103620 is 2630146.

It is a junction number, because it is equal to n+sod(n) for n = 64103591 and 64103600.

It is an unprimeable number.

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, 35950 + ... + 37690.

It is an arithmetic number, because the mean of its divisors is an integer number (3219216).

Almost surely, 264103620 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 64103620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77261184).

64103620 is an abundant number, since it is smaller than the sum of its proper divisors (90418748).

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

64103620 is a wasteful number, since it uses less digits than its factorization.

64103620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 64103620 is about 8006.4736307566. The cubic root of 64103620 is about 400.2157585996.

Adding to 64103620 its reverse (2630146), we get a palindrome (66733766).

It can be divided in two parts, 64 and 103620, that added together give a square (103684 = 3222).

The spelling of 64103620 in words is "sixty-four million, one hundred three thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 263 526 1052 1315 1741 1841 2630 3482 3682 5260 6964 7364 8705 9205 12187 17410 18410 24374 34820 36820 48748 60935 121870 243740 457883 915766 1831532 2289415 3205181 4578830 6410362 9157660 12820724 16025905 32051810 64103620