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661932 = 2236227
BaseRepresentation
bin10100001100110101100
31020122000000
42201212230
5132140212
622104300
75424555
oct2414654
91218000
10661932
11412357
1227b090
131a239b
1413332c
15d11dc
hexa19ac

661932 has 42 divisors (see below), whose sum is σ = 1744428. Its totient is φ = 219672.

The previous prime is 661931. The next prime is 661939. The reversal of 661932 is 239166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 661896 and 661905.

It is not an unprimeable number, because it can be changed into a prime (661931) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2803 + ... + 3029.

It is an arithmetic number, because the mean of its divisors is an integer number (41534).

2661932 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 661932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872214).

661932 is an abundant number, since it is smaller than the sum of its proper divisors (1082496).

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

661932 is a wasteful number, since it uses less digits than its factorization.

661932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 661932 is about 813.5920353592. The cubic root of 661932 is about 87.1507493396.

The spelling of 661932 in words is "six hundred sixty-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 227 243 324 454 486 681 729 908 972 1362 1458 2043 2724 2916 4086 6129 8172 12258 18387 24516 36774 55161 73548 110322 165483 220644 330966 661932