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3799920 = 243571223
BaseRepresentation
bin1110011111101101110000
321011001111210
432133231300
51433044140
6213240120
744204325
oct16375560
97131453
103799920
112165a33
121333040
13a30797
1470cb4c
15500d80
hex39fb70

3799920 has 80 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 994560.

The previous prime is 3799919. The next prime is 3799927. The reversal of 3799920 is 299973.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3799927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16929 + ... + 17151.

Almost surely, 23799920 is an apocalyptic number.

3799920 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 3799920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

3799920 is an abundant number, since it is smaller than the sum of its proper divisors (8199312).

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

3799920 is a wasteful number, since it uses less digits than its factorization.

3799920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 3799920 is about 1949.3383492868. The cubic root of 3799920 is about 156.0479799819.

The spelling of 3799920 in words is "three million, seven hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 223 240 284 355 426 446 568 669 710 852 892 1065 1115 1136 1338 1420 1704 1784 2130 2230 2676 2840 3345 3408 3568 4260 4460 5352 5680 6690 8520 8920 10704 13380 15833 17040 17840 26760 31666 47499 53520 63332 79165 94998 126664 158330 189996 237495 253328 316660 379992 474990 633320 759984 949980 1266640 1899960 3799920