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3992280 = 23351719103
BaseRepresentation
bin1111001110101011011000
321111211101020
433032223120
52010223110
6221322440
745635205
oct17165330
97454336
103992280
112287506
121406420
13a9a1c6
1475ccac
1553cd70
hex3cead8

3992280 has 128 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 940032.

The previous prime is 3992279. The next prime is 3992291. The reversal of 3992280 is 822993.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38709 + ... + 38811.

It is an arithmetic number, because the mean of its divisors is an integer number (105300).

Almost surely, 23992280 is an apocalyptic number.

3992280 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 3992280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

3992280 is an abundant number, since it is smaller than the sum of its proper divisors (9486120).

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

3992280 is a wasteful number, since it uses less digits than its factorization.

3992280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3992280 is about 1998.0690678753. The cubic root of 3992280 is about 158.6379166263.

The spelling of 3992280 in words is "three million, nine hundred ninety-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 103 114 120 136 152 170 190 204 206 228 255 285 309 323 340 380 408 412 456 510 515 570 618 646 680 760 824 969 1020 1030 1140 1236 1292 1545 1615 1751 1938 1957 2040 2060 2280 2472 2584 3090 3230 3502 3876 3914 4120 4845 5253 5871 6180 6460 7004 7752 7828 8755 9690 9785 10506 11742 12360 12920 14008 15656 17510 19380 19570 21012 23484 26265 29355 33269 35020 38760 39140 42024 46968 52530 58710 66538 70040 78280 99807 105060 117420 133076 166345 199614 210120 234840 266152 332690 399228 499035 665380 798456 998070 1330760 1996140 3992280