Search a number
-
+
3695616 = 21032401
BaseRepresentation
bin1110000110010000000000
320221202102200
432012100000
51421224431
6211113200
743261251
oct16062000
96852380
103695616
1120a4631
1212a2800
139c5172
146c2b28
154ceee6
hex386400

3695616 has 66 divisors (see below), whose sum is σ = 10697622. Its totient is φ = 1228800.

The previous prime is 3695611. The next prime is 3695639. The reversal of 3695616 is 6165963.

3695616 is a `hidden beast` number, since 36 + 9 + 5 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 9216 = 1920^2 + 96^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3695611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9016 + ... + 9416.

Almost surely, 23695616 is an apocalyptic number.

3695616 is a gapful number since it is divisible by the number (36) 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 3695616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348811).

3695616 is an abundant number, since it is smaller than the sum of its proper divisors (7002006).

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

3695616 is a wasteful number, since it uses less digits than its factorization.

3695616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 406 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 3695616 is about 1922.3985018721. The cubic root of 3695616 is about 154.6069263270.

The spelling of 3695616 in words is "three million, six hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 401 512 576 768 802 1024 1152 1203 1536 1604 2304 2406 3072 3208 3609 4608 4812 6416 7218 9216 9624 12832 14436 19248 25664 28872 38496 51328 57744 76992 102656 115488 153984 205312 230976 307968 410624 461952 615936 923904 1231872 1847808 3695616