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60104688 = 2437414363
BaseRepresentation
bin1110010101000…
…1111111110000
311012002122010120
43211101333300
5110341322223
65544130240
71326611220
oct345217760
9135078116
1060104688
1130a225a6
1218166980
13c5b5807
147da8080
155423be3
hex3951ff0

60104688 has 80 divisors (see below), whose sum is σ = 181821696. Its totient is φ = 16750080.

The previous prime is 60104659. The next prime is 60104689. The reversal of 60104688 is 88640106.

It is a super-2 number, since 2×601046882 = 7225147039154688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60104689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11595 + ... + 15957.

Almost surely, 260104688 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 60104688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90910848).

60104688 is an abundant number, since it is smaller than the sum of its proper divisors (121717008).

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

60104688 is a wasteful number, since it uses less digits than its factorization.

60104688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 60104688 is about 7752.7213286691. The cubic root of 60104688 is about 391.7143205234.

The spelling of 60104688 in words is "sixty million, one hundred four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4363 4592 6888 8726 13089 13776 17452 26178 30541 34904 52356 61082 69808 91623 104712 122164 178883 183246 209424 244328 357766 366492 488656 536649 715532 732984 1073298 1252181 1431064 1465968 2146596 2504362 2862128 3756543 4293192 5008724 7513086 8586384 10017448 15026172 20034896 30052344 60104688