Search a number
-
+
165118440 = 23351375987
BaseRepresentation
bin10011101011110…
…00000111101000
3102111200212220210
421311320013220
5314232242230
624215021120
74043324604
oct1165700750
9374625823
10165118440
1185228a23
124736a7a0
1328293426
1417d02504
15e768eb0
hex9d781e8

165118440 has 32 divisors (see below), whose sum is σ = 495355680. Its totient is φ = 44031552.

The previous prime is 165118427. The next prime is 165118487. The reversal of 165118440 is 44811561.

165118440 is digitally balanced in base 2, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 165118398 and 165118407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687874 + ... + 688113.

It is an arithmetic number, because the mean of its divisors is an integer number (15479865).

Almost surely, 2165118440 is an apocalyptic number.

165118440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165118440 is an abundant number, since it is smaller than the sum of its proper divisors (330237240).

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

165118440 is a wasteful number, since it uses less digits than its factorization.

165118440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376001 (or 1375997 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 165118440 is about 12849.8420223752. The cubic root of 165118440 is about 548.6118603167.

The spelling of 165118440 in words is "one hundred sixty-five million, one hundred eighteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1375987 2751974 4127961 5503948 6879935 8255922 11007896 13759870 16511844 20639805 27519740 33023688 41279610 55039480 82559220 165118440