Search a number
-
+
64075620 = 2235741612
BaseRepresentation
bin1111010001101…
…1011101100100
311110120101020010
43310123131210
5112400404440
610205210220
71405430250
oct364333544
9143511203
1064075620
1133194a64
1219560970
131037608b
14871d260
15595a580
hex3d1b764

64075620 has 144 divisors (see below), whose sum is σ = 213542784. Its totient is φ = 14054400.

The previous prime is 64075603. The next prime is 64075621. The reversal of 64075620 is 2657046.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64075621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1050390 + ... + 1050450.

It is an arithmetic number, because the mean of its divisors is an integer number (1482936).

Almost surely, 264075620 is an apocalyptic number.

64075620 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 64075620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106771392).

64075620 is an abundant number, since it is smaller than the sum of its proper divisors (149467164).

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

64075620 is a wasteful number, since it uses less digits than its factorization.

64075620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 64075620 is about 8004.7248547342. The cubic root of 64075620 is about 400.1574796589.

Subtracting from 64075620 its product of nonzero digits (10080), we obtain a triangular number (64065540 = T11319).

The spelling of 64075620 in words is "sixty-four million, seventy-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 61 70 82 84 105 122 123 140 164 183 205 210 244 246 287 305 366 410 420 427 492 574 610 615 732 820 854 861 915 1148 1220 1230 1281 1435 1708 1722 1830 2135 2460 2501 2562 2870 3444 3660 3721 4270 4305 5002 5124 5740 6405 7442 7503 8540 8610 10004 11163 12505 12810 14884 15006 17220 17507 18605 22326 25010 25620 26047 30012 35014 37210 37515 44652 50020 52094 52521 55815 70028 74420 75030 78141 87535 104188 105042 111630 130235 150060 152561 156282 175070 210084 223260 260470 262605 305122 312564 350140 390705 457683 520940 525210 610244 762805 781410 915366 1050420 1067927 1525610 1562820 1830732 2135854 2288415 3051220 3203781 4271708 4576830 5339635 6407562 9153660 10679270 12815124 16018905 21358540 32037810 64075620