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3790020 = 22351343113
BaseRepresentation
bin1110011101010011000100
321010112221010
432131103010
51432240040
6213122220
744133423
oct16352304
97115833
103790020
112159553
121329370
13a29120
147092ba
154ece80
hex39d4c4

3790020 has 96 divisors (see below), whose sum is σ = 11797632. Its totient is φ = 903168.

The previous prime is 3790001. The next prime is 3790057. The reversal of 3790020 is 200973.

3790020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33484 + ... + 33596.

It is an arithmetic number, because the mean of its divisors is an integer number (122892).

Almost surely, 23790020 is an apocalyptic number.

3790020 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 3790020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898816).

3790020 is an abundant number, since it is smaller than the sum of its proper divisors (8007612).

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

3790020 is a wasteful number, since it uses less digits than its factorization.

3790020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 3790020 is about 1946.7973700414. The cubic root of 3790020 is about 155.9123439178.

Adding to 3790020 its reverse (200973), we get a palindrome (3990993).

The spelling of 3790020 in words is "three million, seven hundred ninety thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 113 129 130 156 172 195 215 226 258 260 339 390 430 452 516 559 565 645 678 780 860 1118 1130 1290 1356 1469 1677 1695 2236 2260 2580 2795 2938 3354 3390 4407 4859 5590 5876 6708 6780 7345 8385 8814 9718 11180 14577 14690 16770 17628 19436 22035 24295 29154 29380 33540 44070 48590 58308 63167 72885 88140 97180 126334 145770 189501 252668 291540 315835 379002 631670 758004 947505 1263340 1895010 3790020