Search a number
-
+
3969900 = 22325211401
BaseRepresentation
bin1111001001001101101100
321110200200100
433021031230
52004014100
6221031100
745513024
oct17111554
97420610
103969900
112271710
1213b5490
13a8cc6c
14754a84
15536400
hex3c936c

3969900 has 108 divisors (see below), whose sum is σ = 13608504. Its totient is φ = 960000.

The previous prime is 3969899. The next prime is 3969923. The reversal of 3969900 is 99693.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9700 + ... + 10100.

Almost surely, 23969900 is an apocalyptic number.

3969900 is a gapful number since it is divisible by the number (30) 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 3969900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804252).

3969900 is an abundant number, since it is smaller than the sum of its proper divisors (9638604).

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

3969900 is a wasteful number, since it uses less digits than its factorization.

3969900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 3969900 is about 1992.4607900784. The cubic root of 3969900 is about 158.3409291524.

It can be divided in two parts, 3969 and 900, that multiplied together give a square (3572100 = 18902).

The spelling of 3969900 in words is "three million, nine hundred sixty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 401 450 495 550 660 802 825 900 990 1100 1203 1604 1650 1980 2005 2406 2475 3300 3609 4010 4411 4812 4950 6015 7218 8020 8822 9900 10025 12030 13233 14436 17644 18045 20050 22055 24060 26466 30075 36090 39699 40100 44110 52932 60150 66165 72180 79398 88220 90225 110275 120300 132330 158796 180450 198495 220550 264660 330825 360900 396990 441100 661650 793980 992475 1323300 1984950 3969900