Search a number
-
+
165916240 = 2457296279
BaseRepresentation
bin10011110001110…
…10111001010000
3102120012102021221
421320322321100
5314433304430
624244054424
74053156550
oct1170727120
9376172257
10165916240
1185723366
1247694414
13284b25b9
141806d160
15e87557a
hex9e3ae50

165916240 has 40 divisors (see below), whose sum is σ = 440864640. Its totient is φ = 56885376.

The previous prime is 165916207. The next prime is 165916249. The reversal of 165916240 is 42619561.

165916240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 165916196 and 165916205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165916249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147580 + ... + 148699.

It is an arithmetic number, because the mean of its divisors is an integer number (11021616).

Almost surely, 2165916240 is an apocalyptic number.

165916240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165916240 is an abundant number, since it is smaller than the sum of its proper divisors (274948400).

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

165916240 is a wasteful number, since it uses less digits than its factorization.

165916240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296299 (or 296293 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 165916240 is about 12880.8477981847. The cubic root of 165916240 is about 549.4940139873.

The spelling of 165916240 in words is "one hundred sixty-five million, nine hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 296279 592558 1185116 1481395 2073953 2370232 2962790 4147906 4740464 5925580 8295812 10369765 11851160 16591624 20739530 23702320 33183248 41479060 82958120 165916240