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3920280 = 2335713359
BaseRepresentation
bin1110111101000110011000
321101011121120
432331012120
52000422110
6220005240
745215250
oct16750630
97334546
103920280
112238401
121390820
13a734c0
14740960
15526870
hex3bd198

3920280 has 128 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 824832.

The previous prime is 3920269. The next prime is 3920299. The reversal of 3920280 is 820293.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3920280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10741 + ... + 11099.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 23920280 is an apocalyptic number.

3920280 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 3920280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

3920280 is an abundant number, since it is smaller than the sum of its proper divisors (10594920).

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

3920280 is a wasteful number, since it uses less digits than its factorization.

3920280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3920280 is about 1979.9696967378. The cubic root of 3920280 is about 157.6784573323.

The spelling of 3920280 in words is "three million, nine hundred twenty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 359 364 390 420 455 520 546 718 728 780 840 910 1077 1092 1365 1436 1560 1795 1820 2154 2184 2513 2730 2872 3590 3640 4308 4667 5026 5385 5460 7180 7539 8616 9334 10052 10770 10920 12565 14001 14360 15078 18668 20104 21540 23335 25130 28002 30156 32669 37336 37695 43080 46670 50260 56004 60312 65338 70005 75390 93340 98007 100520 112008 130676 140010 150780 163345 186680 196014 261352 280020 301560 326690 392028 490035 560040 653380 784056 980070 1306760 1960140 3920280