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661330980 = 22345408229
BaseRepresentation
bin100111011010110…
…001110000100100
31201002102002120000
4213122301300210
52323300042410
6145342341300
722250135442
oct4732616044
91632362500
10661330980
1130a338832
1216558a830
13a702060b
1463b8db92
153d0d4dc0
hex276b1c24

661330980 has 60 divisors (see below), whose sum is σ = 2074624860. Its totient is φ = 176354496.

The previous prime is 661330963. The next prime is 661330981. The reversal of 661330980 is 89033166.

It is a happy number.

661330980 is a `hidden beast` number, since 6 + 613 + 30 + 9 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 305480484 + 355850496 = 17478^2 + 18864^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (661330981) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202495 + ... + 205734.

It is an arithmetic number, because the mean of its divisors is an integer number (34577081).

Almost surely, 2661330980 is an apocalyptic number.

661330980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

661330980 is an abundant number, since it is smaller than the sum of its proper divisors (1413293880).

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

661330980 is a wasteful number, since it uses less digits than its factorization.

661330980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408250 (or 408239 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 661330980 is about 25716.3562737803. The cubic root of 661330980 is about 871.2436435118.

The spelling of 661330980 in words is "six hundred sixty-one million, three hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 408229 816458 1224687 1632916 2041145 2449374 3674061 4082290 4898748 6123435 7348122 8164580 11022183 12246870 14696244 18370305 22044366 24493740 33066549 36740610 44088732 55110915 66133098 73481220 110221830 132266196 165332745 220443660 330665490 661330980