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157050 = 23252349
BaseRepresentation
bin100110010101111010
321222102200
4212111322
520011200
63211030
71222605
oct462572
9258380
10157050
11a7aa3
1276a76
135663a
144133c
1531800
hex2657a

157050 has 36 divisors (see below), whose sum is σ = 423150. Its totient is φ = 41760.

The previous prime is 157049. The next prime is 157051. The reversal of 157050 is 50751.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (157049) and next prime (157051).

It can be written as a sum of positive squares in 3 ways, for example, as 131769 + 25281 = 363^2 + 159^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 157050.

It is not an unprimeable number, because it can be changed into a prime (157051) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 276 + ... + 624.

2157050 is an apocalyptic number.

157050 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 157050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211575).

157050 is an abundant number, since it is smaller than the sum of its proper divisors (266100).

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

157050 is a wasteful number, since it uses less digits than its factorization.

157050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 157050 is about 396.2953444087. The cubic root of 157050 is about 53.9526333611.

The spelling of 157050 in words is "one hundred fifty-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 349 450 698 1047 1745 2094 3141 3490 5235 6282 8725 10470 15705 17450 26175 31410 52350 78525 157050