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661149108 = 223317418783
BaseRepresentation
bin100111011010000…
…101010110110100
31201002001212002000
4213122011112310
52323223232413
6145334415300
722245450264
oct4732052664
91632055060
10661149108
1130a224124
12165501530
13a6c888b9
1463b437a4
153d09b073
hex276855b4

661149108 has 96 divisors (see below), whose sum is σ = 1859397120. Its totient is φ = 202337280.

The previous prime is 661149031. The next prime is 661149109. The reversal of 661149108 is 801941166.

It is a happy number.

661149108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (661149109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70885 + ... + 79667.

It is an arithmetic number, because the mean of its divisors is an integer number (19368720).

Almost surely, 2661149108 is an apocalyptic number.

661149108 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661149108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929698560).

661149108 is an abundant number, since it is smaller than the sum of its proper divisors (1198248012).

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

661149108 is a wasteful number, since it uses less digits than its factorization.

661149108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 661149108 is about 25712.8199153652. The cubic root of 661149108 is about 871.1637695624.

It can be divided in two parts, 661 and 149108, that added together give a square (149769 = 3872).

The spelling of 661149108 in words is "six hundred sixty-one million, one hundred forty-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 82 102 108 123 153 164 204 246 306 369 459 492 612 697 738 918 1107 1394 1476 1836 2091 2214 2788 4182 4428 6273 8364 8783 12546 17566 18819 25092 26349 35132 37638 52698 75276 79047 105396 149311 158094 237141 298622 316188 360103 447933 474282 597244 720206 895866 948564 1080309 1343799 1440412 1791732 2160618 2687598 3240927 4031397 4321236 5375196 6121751 6481854 8062794 9722781 12243502 12963708 16125588 18365253 19445562 24487004 36730506 38891124 55095759 73461012 110191518 165287277 220383036 330574554 661149108