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3680532 = 223353643
BaseRepresentation
bin1110000010100100010100
320220222202000
432002210110
51420234112
6210515300
743166262
oct16024424
96828660
103680532
112094269
121295b30
139bb33b
146bb432
154ca7dc
hex382914

3680532 has 48 divisors (see below), whose sum is σ = 9737280. Its totient is φ = 1201824.

The previous prime is 3680527. The next prime is 3680533. The reversal of 3680532 is 2350863.

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

It is a junction number, because it is equal to n+sod(n) for n = 3680496 and 3680505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680533) 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, 5403 + ... + 6045.

It is an arithmetic number, because the mean of its divisors is an integer number (202860).

Almost surely, 23680532 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 3680532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868640).

3680532 is an abundant number, since it is smaller than the sum of its proper divisors (6056748).

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

3680532 is a wasteful number, since it uses less digits than its factorization.

3680532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3680532 is about 1918.4712663994. The cubic root of 3680532 is about 154.3962919814.

The spelling of 3680532 in words is "three million, six hundred eighty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 643 954 1286 1431 1908 1929 2572 2862 3858 5724 5787 7716 11574 17361 23148 34079 34722 68158 69444 102237 136316 204474 306711 408948 613422 920133 1226844 1840266 3680532