Search a number
-
+
23379960 = 23352343197
BaseRepresentation
bin101100100101…
…1111111111000
31121222211021110
41121023333320
521441124320
62153040320
7402504102
oct131137770
947884243
1023379960
111221978a
1279b60a0
134ac79c6
143168572
1520bc5e0
hex164bff8

23379960 has 128 divisors (see below), whose sum is σ = 75271680. Its totient is φ = 5795328.

The previous prime is 23379959. The next prime is 23379973. The reversal of 23379960 is 6997332.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 118582 + ... + 118778.

It is an arithmetic number, because the mean of its divisors is an integer number (588060).

Almost surely, 223379960 is an apocalyptic number.

23379960 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 23379960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37635840).

23379960 is an abundant number, since it is smaller than the sum of its proper divisors (51891720).

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

23379960 is a wasteful number, since it uses less digits than its factorization.

23379960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 23379960 is about 4835.2828252337. The cubic root of 23379960 is about 285.9441754541.

The spelling of 23379960 in words is "twenty-three million, three hundred seventy-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 43 46 60 69 86 92 115 120 129 138 172 184 197 215 230 258 276 344 345 394 430 460 516 552 591 645 690 788 860 920 985 989 1032 1182 1290 1380 1576 1720 1970 1978 2364 2580 2760 2955 2967 3940 3956 4531 4728 4945 5160 5910 5934 7880 7912 8471 9062 9890 11820 11868 13593 14835 16942 18124 19780 22655 23640 23736 25413 27186 29670 33884 36248 39560 42355 45310 50826 54372 59340 67768 67965 84710 90620 101652 108744 118680 127065 135930 169420 181240 194833 203304 254130 271860 338840 389666 508260 543720 584499 779332 974165 1016520 1168998 1558664 1948330 2337996 2922495 3896660 4675992 5844990 7793320 11689980 23379960