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60415040 = 265723853
BaseRepresentation
bin1110011001110…
…1110001000000
311012200101212002
43212131301000
5110431240130
65554523132
71332343100
oct346356100
9135611762
1060415040
1131114794
12182964a8
13c693b5a
148049200
155485b45
hex399dc40

60415040 has 84 divisors (see below), whose sum is σ = 167394636. Its totient is φ = 20708352.

The previous prime is 60415037. The next prime is 60415049. The reversal of 60415040 is 4051406.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45914176 + 14500864 = 6776^2 + 3808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (60415049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13754 + ... + 17606.

Almost surely, 260415040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83697318).

60415040 is an abundant number, since it is smaller than the sum of its proper divisors (106979596).

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

60415040 is a wasteful number, since it uses less digits than its factorization.

60415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 60415040 is about 7772.7112386863. The cubic root of 60415040 is about 392.3873721770.

Adding to 60415040 its reverse (4051406), we get a palindrome (64466446).

The spelling of 60415040 in words is "sixty million, four hundred fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3853 3920 7706 7840 15412 15680 19265 26971 30824 38530 53942 61648 77060 107884 123296 134855 154120 188797 215768 246592 269710 308240 377594 431536 539420 616480 755188 863072 943985 1078840 1232960 1510376 1726144 1887970 2157680 3020752 3775940 4315360 6041504 7551880 8630720 12083008 15103760 30207520 60415040