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601138668 = 2231310138153
BaseRepresentation
bin100011110101001…
…010010111101100
31112220011000020010
4203311022113230
52212342414133
6135352253220
720616410604
oct4365122754
91486130203
10601138668
11289366419
121493a1210
1397706c70
1459ba1c04
1537b95263
hex23d4a5ec

601138668 has 48 divisors (see below), whose sum is σ = 1525549536. Its totient is φ = 183129600.

The previous prime is 601138661. The next prime is 601138691. The reversal of 601138668 is 866831106.

It is a super-2 number, since 2×6011386682 = 722735396329628448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (601138661) 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, 3321 + ... + 34832.

It is an arithmetic number, because the mean of its divisors is an integer number (31782282).

Almost surely, 2601138668 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 601138668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762774768).

601138668 is an abundant number, since it is smaller than the sum of its proper divisors (924410868).

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

601138668 is a wasteful number, since it uses less digits than its factorization.

601138668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38274 (or 38272 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 601138668 is about 24518.1293739959. The cubic root of 601138668 is about 843.9658780182.

The spelling of 601138668 in words is "six hundred one million, one hundred thirty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 303 404 606 1212 1313 2626 3939 5252 7878 15756 38153 76306 114459 152612 228918 457836 495989 991978 1487967 1983956 2975934 3853453 5951868 7706906 11560359 15413812 23120718 46241436 50094889 100189778 150284667 200379556 300569334 601138668