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3730896 = 2432131993
BaseRepresentation
bin1110001110110111010000
321000112211100
432032313100
51423342041
6211544400
743466151
oct16166720
97015740
103730896
112119094
1212bb100
13a08240
146d1928
154da6b6
hex38edd0

3730896 has 60 divisors (see below), whose sum is σ = 11250148. Its totient is φ = 1147392.

The previous prime is 3730889. The next prime is 3730901. The reversal of 3730896 is 6980373.

It can be written as a sum of positive squares in 2 ways, for example, as 1587600 + 2143296 = 1260^2 + 1464^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3730896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 876 + ... + 2868.

Almost surely, 23730896 is an apocalyptic number.

3730896 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 3730896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625074).

3730896 is an abundant number, since it is smaller than the sum of its proper divisors (7519252).

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

3730896 is a wasteful number, since it uses less digits than its factorization.

3730896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3730896 is about 1931.5527432612. The cubic root of 3730896 is about 155.0973512612.

The spelling of 3730896 in words is "three million, seven hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 1993 3986 5979 7972 11958 15944 17937 23916 25909 31888 35874 47832 51818 71748 77727 95664 103636 143496 155454 207272 233181 286992 310908 414544 466362 621816 932724 1243632 1865448 3730896