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3899920 = 24529412
BaseRepresentation
bin1110111000001000010000
321100010200111
432320020100
51444244140
6215331104
745102013
oct16701020
97303614
103899920
112224082
121380a94
13a6715b
1473737a
155207ea
hex3b8210

3899920 has 60 divisors (see below), whose sum is σ = 9614340. Its totient is φ = 1469440.

The previous prime is 3899887. The next prime is 3899927. The reversal of 3899920 is 299983.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1327104 + 2572816 = 1152^2 + 1604^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3899927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95100 + ... + 95140.

It is an arithmetic number, because the mean of its divisors is an integer number (160239).

Almost surely, 23899920 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 3899920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807170).

3899920 is an abundant number, since it is smaller than the sum of its proper divisors (5714420).

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

3899920 is a wasteful number, since it uses less digits than its factorization.

3899920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 3899920 is about 1974.8215109219. The cubic root of 3899920 is about 157.4050153748.

The spelling of 3899920 in words is "three million, eight hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 41 58 80 82 116 145 164 205 232 290 328 410 464 580 656 820 1160 1189 1640 1681 2320 2378 3280 3362 4756 5945 6724 8405 9512 11890 13448 16810 19024 23780 26896 33620 47560 48749 67240 95120 97498 134480 194996 243745 389992 487490 779984 974980 1949960 3899920