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60079428 = 22331743761
BaseRepresentation
bin1110010100101…
…1110101000100
311012001100111000
43211023311010
5110340020203
65543413300
71326444453
oct345136504
9135040430
1060079428
1130a05622
1218154230
13c5a7176
147d9cb9a
15541b4a3
hex394bd44

60079428 has 96 divisors (see below), whose sum is σ = 168981120. Its totient is φ = 18385920.

The previous prime is 60079423. The next prime is 60079429. The reversal of 60079428 is 82497006.

60079428 is a `hidden beast` number, since 600 + 7 + 9 + 42 + 8 = 666.

60079428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 60079392 and 60079401.

It is not an unprimeable number, because it can be changed into a prime (60079423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 78568 + ... + 79328.

It is an arithmetic number, because the mean of its divisors is an integer number (1760220).

Almost surely, 260079428 is an apocalyptic number.

60079428 is a gapful number since it is divisible by the number (68) 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 60079428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84490560).

60079428 is an abundant number, since it is smaller than the sum of its proper divisors (108901692).

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

60079428 is a wasteful number, since it uses less digits than its factorization.

60079428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 60079428 is about 7751.0920520918. The cubic root of 60079428 is about 391.6594380035.

The spelling of 60079428 in words is "sixty million, seventy-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 43 51 54 68 86 102 108 129 153 172 204 258 306 387 459 516 612 731 761 774 918 1161 1462 1522 1548 1836 2193 2283 2322 2924 3044 4386 4566 4644 6579 6849 8772 9132 12937 13158 13698 19737 20547 25874 26316 27396 32723 38811 39474 41094 51748 65446 77622 78948 82188 98169 116433 130892 155244 196338 232866 294507 349299 392676 465732 556291 589014 698598 883521 1112582 1178028 1397196 1668873 1767042 2225164 3337746 3534084 5006619 6675492 10013238 15019857 20026476 30039714 60079428