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60100068 = 22372432377
BaseRepresentation
bin1110010101000…
…0110111100100
311012002101210110
43211100313210
5110341200233
65544053020
71326561600
oct345206744
9135071713
1060100068
1130a1a086
1218164170
13c5b3692
147da6500
155422663
hex3950de4

60100068 has 72 divisors (see below), whose sum is σ = 166992672. Its totient is φ = 16765056.

The previous prime is 60100063. The next prime is 60100121. The reversal of 60100068 is 86000106.

60100068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601000682 = 7224036347209248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (60100063) 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 23 ways as a sum of consecutive naturals, for example, 24096 + ... + 26472.

Almost surely, 260100068 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 60100068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83496336).

60100068 is an abundant number, since it is smaller than the sum of its proper divisors (106892604).

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

60100068 is a wasteful number, since it uses less digits than its factorization.

60100068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 60100068 is about 7752.4233630524. The cubic root of 60100068 is about 391.7042837770.

It can be divided in two parts, 60 and 100068, that added together give a triangular number (100128 = T447).

The spelling of 60100068 in words is "sixty million, one hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1806 2107 2377 3612 4214 4754 6321 7131 8428 9508 12642 14262 16639 25284 28524 33278 49917 66556 99834 102211 116473 199668 204422 232946 306633 349419 408844 465892 613266 698838 715477 1226532 1397676 1430954 2146431 2861908 4292862 5008339 8585724 10016678 15025017 20033356 30050034 60100068