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60380640 = 253551553
BaseRepresentation
bin1110011001010…
…1010111100000
311012121122200000
43212111113200
5110424140030
65554100000
71332140565
oct346252740
9135548600
1060380640
11310a0961
121827a600
13c6812b8
14803a86c
15547a860
hex39955e0

60380640 has 144 divisors (see below), whose sum is σ = 213817968. Its totient is φ = 16091136.

The previous prime is 60380609. The next prime is 60380669. The reversal of 60380640 is 4608306.

60380640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38104 + ... + 39656.

It is an arithmetic number, because the mean of its divisors is an integer number (1484847).

Almost surely, 260380640 is an apocalyptic number.

60380640 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 60380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106908984).

60380640 is an abundant number, since it is smaller than the sum of its proper divisors (153437328).

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

60380640 is a wasteful number, since it uses less digits than its factorization.

60380640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 60380640 is about 7770.4980535356. The cubic root of 60380640 is about 392.3128836151.

Adding to 60380640 its reverse (4608306), we get a palindrome (64988946).

The spelling of 60380640 in words is "sixty million, three hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1553 1620 1944 2160 2430 2592 3106 3240 3888 4320 4659 4860 6212 6480 7765 7776 9318 9720 12424 12960 13977 15530 18636 19440 23295 24848 27954 31060 37272 38880 41931 46590 49696 55908 62120 69885 74544 83862 93180 111816 124240 125793 139770 149088 167724 186360 209655 223632 248480 251586 279540 335448 372720 377379 419310 447264 503172 559080 628965 670896 745440 754758 838620 1006344 1118160 1257930 1341792 1509516 1677240 1886895 2012688 2236320 2515860 3019032 3354480 3773790 4025376 5031720 6038064 6708960 7547580 10063440 12076128 15095160 20126880 30190320 60380640