Search a number
-
+
156954 = 23737101
BaseRepresentation
bin100110010100011010
321222022010
4212110122
520010304
63210350
71222410
oct462432
9258263
10156954
11a7a16
12769b6
1356595
14412b0
1531789
hex2651a

156954 has 32 divisors (see below), whose sum is σ = 372096. Its totient is φ = 43200.

The previous prime is 156943. The next prime is 156967. The reversal of 156954 is 459651.

Added to its reverse (459651) it gives a triangular number (616605 = T1110).

Its product of digits (5400) is a multiple of the sum of its prime divisors (150).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 156954.

It is an unprimeable number.

156954 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1504 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (11628).

2156954 is an apocalyptic number.

156954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 156954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186048).

156954 is an abundant number, since it is smaller than the sum of its proper divisors (215142).

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

156954 is a wasteful number, since it uses less digits than its factorization.

156954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150.

The product of its digits is 5400, while the sum is 30.

The square root of 156954 is about 396.1742041072. The cubic root of 156954 is about 53.9416379064.

Adding to 156954 its reverse (459651), we get a triangular number (616605 = T1110).

The spelling of 156954 in words is "one hundred fifty-six thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 37 42 74 101 111 202 222 259 303 518 606 707 777 1414 1554 2121 3737 4242 7474 11211 22422 26159 52318 78477 156954