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3745680 = 243515607
BaseRepresentation
bin1110010010011110010000
321001022002220
432102132100
51424330210
6212141040
743560231
oct16223620
97038086
103745680
112129204
121307780
13a11ba3
146d7088
154dec70
hex392790

3745680 has 40 divisors (see below), whose sum is σ = 11612352. Its totient is φ = 998784.

The previous prime is 3745663. The next prime is 3745691. The reversal of 3745680 is 865473.

3745680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7564 + ... + 8043.

Almost surely, 23745680 is an apocalyptic number.

3745680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3745680 is an abundant number, since it is smaller than the sum of its proper divisors (7866672).

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

3745680 is a wasteful number, since it uses less digits than its factorization.

3745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15623 (or 15617 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3745680 is about 1935.3759324741. The cubic root of 3745680 is about 155.3019435099.

The spelling of 3745680 in words is "three million, seven hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 15607 31214 46821 62428 78035 93642 124856 156070 187284 234105 249712 312140 374568 468210 624280 749136 936420 1248560 1872840 3745680