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60099966 = 23223179811
BaseRepresentation
bin1110010101000…
…0110101111110
311012002101122200
43211100311332
5110341144331
65544052330
71326561363
oct345206576
9135071580
1060099966
1130a19aa3
12181640a6
13c5b3614
147da646a
1554225e6
hex3950d7e

60099966 has 48 divisors (see below), whose sum is σ = 136805760. Its totient is φ = 19031760.

The previous prime is 60099959. The next prime is 60100031. The reversal of 60099966 is 66999006.

It is a super-2 number, since 2×600999662 = 7224011826402312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73701 + ... + 74511.

It is an arithmetic number, because the mean of its divisors is an integer number (2850120).

Almost surely, 260099966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60099966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68402880).

60099966 is an abundant number, since it is smaller than the sum of its proper divisors (76705794).

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

60099966 is a wasteful number, since it uses less digits than its factorization.

60099966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 60099966 is about 7752.4167844615. The cubic root of 60099966 is about 391.7040621807.

The spelling of 60099966 in words is "sixty million, ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 179 207 358 414 537 811 1074 1611 1622 2433 3222 4117 4866 7299 8234 12351 14598 18653 24702 37053 37306 55959 74106 111918 145169 167877 290338 335754 435507 871014 1306521 2613042 3338887 6677774 10016661 20033322 30049983 60099966