Search a number
-
+
64030320 = 24325113787
BaseRepresentation
bin1111010001000…
…0011001110000
311110111002002100
43310100121300
5112342432240
610204220400
71405151214
oct364203160
9143432070
1064030320
1133163a22
121953a700
131035b583
14870a944
15594be30
hex3d10670

64030320 has 120 divisors (see below), whose sum is σ = 217213776. Its totient is φ = 16902144.

The previous prime is 64030303. The next prime is 64030357. The reversal of 64030320 is 2303046.

64030320 is a `hidden beast` number, since 640 + 3 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 64030293 and 64030302.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 80967 + ... + 81753.

Almost surely, 264030320 is an apocalyptic number.

64030320 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 64030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108606888).

64030320 is an abundant number, since it is smaller than the sum of its proper divisors (153183456).

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

64030320 is a wasteful number, since it uses less digits than its factorization.

64030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 64030320 is about 8001.8947756141. The cubic root of 64030320 is about 400.0631566942.

Adding to 64030320 its reverse (2303046), we get a palindrome (66333366).

The spelling of 64030320 in words is "sixty-four million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 240 339 360 452 565 678 720 787 904 1017 1130 1356 1574 1695 1808 2034 2260 2361 2712 3148 3390 3935 4068 4520 4722 5085 5424 6296 6780 7083 7870 8136 9040 9444 10170 11805 12592 13560 14166 15740 16272 18888 20340 23610 27120 28332 31480 35415 37776 40680 47220 56664 62960 70830 81360 88931 94440 113328 141660 177862 188880 266793 283320 355724 444655 533586 566640 711448 800379 889310 1067172 1333965 1422896 1600758 1778620 2134344 2667930 3201516 3557240 4001895 4268688 5335860 6403032 7114480 8003790 10671720 12806064 16007580 21343440 32015160 64030320