Search a number
-
+
157410 = 23351153
BaseRepresentation
bin100110011011100010
321222221000
4212123202
520014120
63212430
71223631
oct463342
9258830
10157410
11a82a0
1277116
1356856
1441518
1531990
hex266e2

157410 has 64 divisors (see below), whose sum is σ = 466560. Its totient is φ = 37440.

The previous prime is 157393. The next prime is 157411. The reversal of 157410 is 14751.

157410 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 (18).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157411) by changing a digit.

157410 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 31 ways as a sum of consecutive naturals, for example, 2944 + ... + 2996.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

2157410 is an apocalyptic number.

157410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233280).

157410 is an abundant number, since it is smaller than the sum of its proper divisors (309150).

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

157410 is a wasteful number, since it uses less digits than its factorization.

157410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 157410 is about 396.7492911147. The cubic root of 157410 is about 53.9938264547.

The spelling of 157410 in words is "one hundred fifty-seven thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 53 54 55 66 90 99 106 110 135 159 165 198 265 270 297 318 330 477 495 530 583 594 795 954 990 1166 1431 1485 1590 1749 2385 2862 2915 2970 3498 4770 5247 5830 7155 8745 10494 14310 15741 17490 26235 31482 52470 78705 157410