Search a number
-
+
165240460 = 225711611759
BaseRepresentation
bin10011101100101…
…01111010001100
3102111221002022001
421312111322030
5314300143320
624221402044
74044343420
oct1166257214
9374832261
10165240460
1185301670
1247409324
1328306b28
1417d34b80
15e79020a
hex9d95e8c

165240460 has 96 divisors (see below), whose sum is σ = 439971840. Its totient is φ = 50630400.

The previous prime is 165240457. The next prime is 165240461. The reversal of 165240460 is 64042561.

165240460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (165240461) 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, 93061 + ... + 94819.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040).

Almost surely, 2165240460 is an apocalyptic number.

165240460 is a gapful number since it is divisible by the number (10) 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 165240460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219985920).

165240460 is an abundant number, since it is smaller than the sum of its proper divisors (274731380).

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

165240460 is a wasteful number, since it uses less digits than its factorization.

165240460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 165240460 is about 12854.5890638324. The cubic root of 165240460 is about 548.7469656313.

The spelling of 165240460 in words is "one hundred sixty-five million, two hundred forty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 61 70 77 110 122 140 154 220 244 305 308 385 427 610 671 770 854 1220 1342 1540 1708 1759 2135 2684 3355 3518 4270 4697 6710 7036 8540 8795 9394 12313 13420 17590 18788 19349 23485 24626 35180 38698 46970 49252 61565 77396 93940 96745 107299 123130 135443 193490 214598 246260 270886 386980 429196 536495 541772 677215 751093 1072990 1180289 1354430 1502186 2145980 2360578 2708860 3004372 3755465 4721156 5901445 7510930 8262023 11802890 15021860 16524046 23605780 33048092 41310115 82620230 165240460