Search a number
-
+
320069960 = 23572732237
BaseRepresentation
bin10011000100111…
…110000101001000
3211022021020102222
4103010332011020
51123414214320
651432113212
710634356400
oct2304760510
9738236388
10320069960
11154742331
128b235808
1351407012
1430719800
151d175825
hex1313e148

320069960 has 96 divisors (see below), whose sum is σ = 849589560. Its totient is φ = 108186624.

The previous prime is 320069957. The next prime is 320069983. The reversal of 320069960 is 69960023.

It can be written as a sum of positive squares in 4 ways, for example, as 297010756 + 23059204 = 17234^2 + 4802^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 320069960.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141962 + ... + 144198.

Almost surely, 2320069960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320069960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424794780).

320069960 is an abundant number, since it is smaller than the sum of its proper divisors (529519600).

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

320069960 is a wasteful number, since it uses less digits than its factorization.

320069960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 320069960 is about 17890.4991545792. The cubic root of 320069960 is about 684.0402208375.

The spelling of 320069960 in words is "three hundred twenty million, sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 98 140 146 196 245 280 292 365 392 490 511 584 730 980 1022 1460 1960 2044 2237 2555 2920 3577 4088 4474 5110 7154 8948 10220 11185 14308 15659 17885 17896 20440 22370 28616 31318 35770 44740 62636 71540 78295 89480 109613 125272 143080 156590 163301 219226 313180 326602 438452 548065 626360 653204 816505 876904 1096130 1143107 1306408 1633010 2192260 2286214 3266020 4384520 4572428 5715535 6532040 8001749 9144856 11431070 16003498 22862140 32006996 40008745 45724280 64013992 80017490 160034980 320069960