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64807380 = 223251171461
BaseRepresentation
bin1111011100111…
…0000111010100
311111221120000100
43313032013110
5113042314010
610233014100
71414565541
oct367160724
9144846010
1064807380
1133644820
1219854330
1310571181
14886dbc8
155a522c0
hex3dce1d4

64807380 has 144 divisors (see below), whose sum is σ = 217945728. Its totient is φ = 15456000.

The previous prime is 64807363. The next prime is 64807409. The reversal of 64807380 is 8370846.

64807380 is a `hidden beast` number, since 648 + 0 + 7 + 3 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140350 + ... + 140810.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 264807380 is an apocalyptic number.

64807380 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 64807380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

64807380 is an abundant number, since it is smaller than the sum of its proper divisors (153138348).

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

64807380 is a wasteful number, since it uses less digits than its factorization.

64807380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 64807380 is about 8050.3030998839. The cubic root of 64807380 is about 401.6750176654.

The spelling of 64807380 in words is "sixty-four million, eight hundred seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 71 90 99 110 132 142 165 180 198 213 220 284 330 355 396 426 461 495 639 660 710 781 852 922 990 1065 1278 1383 1420 1562 1844 1980 2130 2305 2343 2556 2766 3124 3195 3905 4149 4260 4610 4686 5071 5532 6390 6915 7029 7810 8298 9220 9372 10142 11715 12780 13830 14058 15213 15620 16596 20284 20745 23430 25355 27660 28116 30426 32731 35145 41490 45639 46860 50710 60852 65462 70290 76065 82980 91278 98193 101420 130924 140580 152130 163655 182556 196386 228195 294579 304260 327310 360041 392772 456390 490965 589158 654620 720082 912780 981930 1080123 1178316 1440164 1472895 1800205 1963860 2160246 2945790 3240369 3600410 4320492 5400615 5891580 6480738 7200820 10801230 12961476 16201845 21602460 32403690 64807380