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64046640 = 2435767569
BaseRepresentation
bin1111010001010…
…0011000110000
311110111220110210
43310110120300
5112343443030
610204424120
71405246620
oct364243060
9143456423
1064046640
1133175209
1219548040
1310365b28
148712880
155951bb0
hex3d14630

64046640 has 160 divisors (see below), whose sum is σ = 230699520. Its totient is φ = 14395392.

The previous prime is 64046627. The next prime is 64046641. The reversal of 64046640 is 4664046.

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

It is a junction number, because it is equal to n+sod(n) for n = 64046598 and 64046607.

It is not an unprimeable number, because it can be changed into a prime (64046641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 112276 + ... + 112844.

It is an arithmetic number, because the mean of its divisors is an integer number (1441872).

Almost surely, 264046640 is an apocalyptic number.

64046640 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 64046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115349760).

64046640 is an abundant number, since it is smaller than the sum of its proper divisors (166652880).

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

64046640 is a wasteful number, since it uses less digits than its factorization.

64046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 64046640 is about 8002.9144691169. The cubic root of 64046640 is about 400.0971430728.

The spelling of 64046640 in words is "sixty-four million, forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 67 70 80 84 105 112 120 134 140 168 201 210 240 268 280 335 336 402 420 469 536 560 569 670 804 840 938 1005 1072 1138 1340 1407 1608 1680 1707 1876 2010 2276 2345 2680 2814 2845 3216 3414 3752 3983 4020 4552 4690 5360 5628 5690 6828 7035 7504 7966 8040 8535 9104 9380 11256 11380 11949 13656 14070 15932 16080 17070 18760 19915 22512 22760 23898 27312 28140 31864 34140 37520 38123 39830 45520 47796 56280 59745 63728 68280 76246 79660 95592 112560 114369 119490 136560 152492 159320 190615 191184 228738 238980 266861 304984 318640 381230 457476 477960 533722 571845 609968 762460 800583 914952 955920 1067444 1143690 1334305 1524920 1601166 1829904 2134888 2287380 2668610 3049840 3202332 4002915 4269776 4574760 5337220 6404664 8005830 9149520 10674440 12809328 16011660 21348880 32023320 64046640