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2389920 = 253513383
BaseRepresentation
bin1001000111011110100000
311111102100120
421013132200
51102434140
6123120240
726212461
oct11073640
94442316
102389920
111392645
12973080
13658a70
14462d68
153231d0
hex2477a0

2389920 has 96 divisors (see below), whose sum is σ = 8128512. Its totient is φ = 586752.

The previous prime is 2389901. The next prime is 2389921. The reversal of 2389920 is 299832.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2389921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6049 + ... + 6431.

It is an arithmetic number, because the mean of its divisors is an integer number (84672).

22389920 is an apocalyptic number.

2389920 is a gapful number since it is divisible by the number (20) 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 2389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256).

2389920 is an abundant number, since it is smaller than the sum of its proper divisors (5738592).

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

2389920 is a wasteful number, since it uses less digits than its factorization.

2389920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

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

The square root of 2389920 is about 1545.9366093084. The cubic root of 2389920 is about 133.6988857587.

The spelling of 2389920 in words is "two million, three hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 383 390 416 480 520 624 766 780 1040 1149 1248 1532 1560 1915 2080 2298 3064 3120 3830 4596 4979 5745 6128 6240 7660 9192 9958 11490 12256 14937 15320 18384 19916 22980 24895 29874 30640 36768 39832 45960 49790 59748 61280 74685 79664 91920 99580 119496 149370 159328 183840 199160 238992 298740 398320 477984 597480 796640 1194960 2389920