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661070772 = 2232177314797
BaseRepresentation
bin100111011001110…
…010001110110100
31201001220212121200
4213121302032310
52323213231042
6145333012500
722245003015
oct4731621664
91631825550
10661070772
1130a18028a
12165484130
13a6c5c04b
1463b2300c
153d082c4c
hex276723b4

661070772 has 72 divisors (see below), whose sum is σ = 1793695176. Its totient is φ = 204539904.

The previous prime is 661070731. The next prime is 661070779. The reversal of 661070772 is 277070166.

It can be written as a sum of positive squares in 4 ways, for example, as 155900196 + 505170576 = 12486^2 + 22476^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661070779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37278 + ... + 52074.

It is an arithmetic number, because the mean of its divisors is an integer number (24912433).

Almost surely, 2661070772 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 661070772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896847588).

661070772 is an abundant number, since it is smaller than the sum of its proper divisors (1132624404).

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

661070772 is a wasteful number, since it uses less digits than its factorization.

661070772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14897 (or 14892 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 661070772 is about 25711.2965834086. The cubic root of 661070772 is about 871.1293617010.

The spelling of 661070772 in words is "six hundred sixty-one million, seventy thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 612 657 876 1241 1314 2482 2628 3723 4964 7446 11169 14797 14892 22338 29594 44391 44676 59188 88782 133173 177564 251549 266346 503098 532692 754647 1006196 1080181 1509294 2160362 2263941 3018588 3240543 4320724 4527882 6481086 9055764 9721629 12962172 18363077 19443258 36726154 38886516 55089231 73452308 110178462 165267693 220356924 330535386 661070772