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60428016 = 24321138149
BaseRepresentation
bin1110011010000…
…0111011110000
311012201001122200
43212200323300
5110432144031
65555103200
71332425655
oct346407360
9135631580
1060428016
1131123510
12182a1b00
13c699a2c
14804dc2c
1554898e6
hex39a0ef0

60428016 has 60 divisors (see below), whose sum is σ = 184493400. Its totient is φ = 18311040.

The previous prime is 60427981. The next prime is 60428023. The reversal of 60428016 is 61082406.

60428016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 17491 + ... + 20658.

It is an arithmetic number, because the mean of its divisors is an integer number (3074890).

Almost surely, 260428016 is an apocalyptic number.

60428016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

60428016 is an abundant number, since it is smaller than the sum of its proper divisors (124065384).

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

60428016 is a wasteful number, since it uses less digits than its factorization.

60428016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38174 (or 38165 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 60428016 is about 7773.5459090431. The cubic root of 60428016 is about 392.4154626108.

The spelling of 60428016 in words is "sixty million, four hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 38149 76298 114447 152596 228894 305192 343341 419639 457788 610384 686682 839278 915576 1258917 1373364 1678556 1831152 2517834 2746728 3357112 3776751 5035668 5493456 6714224 7553502 10071336 15107004 20142672 30214008 60428016