Search a number
-
+
161238440 = 235113111821
BaseRepresentation
bin10011001110001…
…00110110101000
3102020101202120002
421213010312220
5312234112230
623555522132
73665334626
oct1147046650
9366352502
10161238440
1183018910
1245bb9348
132753537c
14175b2516
15e24e545
hex99c4da8

161238440 has 64 divisors (see below), whose sum is σ = 408568320. Its totient is φ = 56736000.

The previous prime is 161238439. The next prime is 161238443. The reversal of 161238440 is 44832161.

It is not an unprimeable number, because it can be changed into a prime (161238443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7730 + ... + 19550.

It is an arithmetic number, because the mean of its divisors is an integer number (6383880).

Almost surely, 2161238440 is an apocalyptic number.

161238440 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 161238440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204284160).

161238440 is an abundant number, since it is smaller than the sum of its proper divisors (247329880).

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

161238440 is a wasteful number, since it uses less digits than its factorization.

161238440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874 (or 11870 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 161238440 is about 12697.9699164867. The cubic root of 161238440 is about 544.2806096266.

The spelling of 161238440 in words is "one hundred sixty-one million, two hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 11821 13640 23642 47284 59105 94568 118210 130031 236420 260062 366451 472840 520124 650155 732902 1040248 1300310 1465804 1832255 2600620 2931608 3664510 4030961 5201240 7329020 8061922 14658040 16123844 20154805 32247688 40309610 80619220 161238440