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390028380 = 223574991861
BaseRepresentation
bin10111001111110…
…101110001011100
31000011220111100120
4113033311301130
51244321402010
6102411354540
712444120660
oct2717656134
91004814316
10390028380
11190185105
12aa752a50
1362a5c931
1439b2a8a0
1524393e70
hex173f5c5c

390028380 has 96 divisors (see below), whose sum is σ = 1251264000. Its totient is φ = 88922880.

The previous prime is 390028369. The next prime is 390028381. The reversal of 390028380 is 83820093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390028381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208650 + ... + 210510.

It is an arithmetic number, because the mean of its divisors is an integer number (13034000).

Almost surely, 2390028380 is an apocalyptic number.

390028380 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 390028380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625632000).

390028380 is an abundant number, since it is smaller than the sum of its proper divisors (861235620).

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

390028380 is a wasteful number, since it uses less digits than its factorization.

390028380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 390028380 is about 19749.1361836410. The cubic root of 390028380 is about 730.6320790580.

The spelling of 390028380 in words is "three hundred ninety million, twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 499 998 1497 1861 1996 2495 2994 3493 3722 4990 5583 5988 6986 7444 7485 9305 9980 10479 11166 13027 13972 14970 17465 18610 20958 22332 26054 27915 29940 34930 37220 39081 41916 52108 52395 55830 65135 69860 78162 104790 111660 130270 156324 195405 209580 260540 390810 781620 928639 1857278 2785917 3714556 4643195 5571834 6500473 9286390 11143668 13000946 13929585 18572780 19501419 26001892 27859170 32502365 39002838 55718340 65004730 78005676 97507095 130009460 195014190 390028380