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230867040 = 25351792687
BaseRepresentation
bin11011100001011…
…00000001100000
3121002102021001010
431300230001200
5433100221130
634524140520
75502223515
oct1560540140
9532367033
10230867040
11109355908
1265397740
1338aa3b21
142293930c
15154050b0
hexdc2c060

230867040 has 96 divisors (see below), whose sum is σ = 731566080. Its totient is φ = 61197824.

The previous prime is 230867033. The next prime is 230867041. The reversal of 230867040 is 40768032.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 230866989 and 230867007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230867041) 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, 84577 + ... + 87263.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 2230867040 is an apocalyptic number.

230867040 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 230867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

230867040 is an abundant number, since it is smaller than the sum of its proper divisors (500699040).

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

230867040 is a wasteful number, since it uses less digits than its factorization.

230867040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 230867040 is about 15194.3094611108. The cubic root of 230867040 is about 613.4614991558.

The spelling of 230867040 in words is "two hundred thirty million, eight hundred sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 179 240 358 480 537 716 895 1074 1432 1790 2148 2685 2687 2864 3580 4296 5370 5374 5728 7160 8061 8592 10740 10748 13435 14320 16122 17184 21480 21496 26870 28640 32244 40305 42960 42992 53740 64488 80610 85920 85984 107480 128976 161220 214960 257952 322440 429920 480973 644880 961946 1289760 1442919 1923892 2404865 2885838 3847784 4809730 5771676 7214595 7695568 9619460 11543352 14429190 15391136 19238920 23086704 28858380 38477840 46173408 57716760 76955680 115433520 230867040