Search a number
-
+
161653340 = 225174311057
BaseRepresentation
bin10011010001010…
…10001001011100
3102021011211200202
421220222021130
5312340401330
624012443032
74002013352
oct1150521134
9367154622
10161653340
1183281602
1246179478
132764c184
141767d7d2
15e2d2445
hex9a2a25c

161653340 has 48 divisors (see below), whose sum is σ = 367833312. Its totient is φ = 59437056.

The previous prime is 161653309. The next prime is 161653381. The reversal of 161653340 is 43356161.

It is a happy number.

161653340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1616533402 = 52263604666311200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9092 + ... + 20148.

It is an arithmetic number, because the mean of its divisors is an integer number (7663194).

Almost surely, 2161653340 is an apocalyptic number.

161653340 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 161653340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183916656).

161653340 is an abundant number, since it is smaller than the sum of its proper divisors (206179972).

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

161653340 is a wasteful number, since it uses less digits than its factorization.

161653340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11126 (or 11124 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 161653340 is about 12714.2966773628. The cubic root of 161653340 is about 544.7470587887.

The spelling of 161653340 in words is "one hundred sixty-one million, six hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 2924 3655 7310 11057 14620 22114 44228 55285 110570 187969 221140 375938 475451 751876 939845 950902 1879690 1901804 2377255 3759380 4754510 8082667 9509020 16165334 32330668 40413335 80826670 161653340