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157932 = 223241107
BaseRepresentation
bin100110100011101100
322000122100
4212203230
520023212
63215100
71225305
oct464354
9260570
10157932
11a8725
1277490
1356b68
14417ac
1531bdc
hex268ec

157932 has 36 divisors (see below), whose sum is σ = 412776. Its totient is φ = 50880.

The previous prime is 157931. The next prime is 157933. The reversal of 157932 is 239751.

157932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157931) and next prime (157933).

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 157896 and 157905.

It is not an unprimeable number, because it can be changed into a prime (157931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1423 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2157932 is an apocalyptic number.

157932 is a gapful number since it is divisible by the number (12) 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 157932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388).

157932 is an abundant number, since it is smaller than the sum of its proper divisors (254844).

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

157932 is a wasteful number, since it uses less digits than its factorization.

157932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 157932 is about 397.4065927989. The cubic root of 157932 is about 54.0534450292.

It can be divided in two parts, 157 and 932, that added together give a square (1089 = 332).

The spelling of 157932 in words is "one hundred fifty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 107 123 164 214 246 321 369 428 492 642 738 963 1284 1476 1926 3852 4387 8774 13161 17548 26322 39483 52644 78966 157932