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6390120 = 23351147103
BaseRepresentation
bin11000011000000101101000
3110000122121010
4120120011220
53113440440
6344543520
7105213042
oct30300550
913018533
106390120
113674aa0
122181ba0
131429749
14bc4a92
15863580
hex618168

6390120 has 128 divisors (see below), whose sum is σ = 21565440. Its totient is φ = 1501440.

The previous prime is 6390119. The next prime is 6390127. The reversal of 6390120 is 210936.

It is a super-2 number, since 2×63901202 = 81667267228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6390127) 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, 61989 + ... + 62091.

It is an arithmetic number, because the mean of its divisors is an integer number (168480).

Almost surely, 26390120 is an apocalyptic number.

6390120 is a gapful number since it is divisible by the number (60) 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 6390120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782720).

6390120 is an abundant number, since it is smaller than the sum of its proper divisors (15175320).

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

6390120 is a wasteful number, since it uses less digits than its factorization.

6390120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 6390120 is about 2527.8686674746. The cubic root of 6390120 is about 185.5679647692.

The spelling of 6390120 in words is "six million, three hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 103 110 120 132 141 165 188 206 220 235 264 282 309 330 376 412 440 470 515 517 564 618 660 705 824 940 1030 1034 1128 1133 1236 1320 1410 1545 1551 1880 2060 2068 2266 2472 2585 2820 3090 3102 3399 4120 4136 4532 4841 5170 5640 5665 6180 6204 6798 7755 9064 9682 10340 11330 12360 12408 13596 14523 15510 16995 19364 20680 22660 24205 27192 29046 31020 33990 38728 45320 48410 53251 58092 62040 67980 72615 96820 106502 116184 135960 145230 159753 193640 213004 266255 290460 319506 426008 532510 580920 639012 798765 1065020 1278024 1597530 2130040 3195060 6390120