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120276 = 223213257
BaseRepresentation
bin11101010111010100
320002222200
4131113110
512322101
62324500
71010442
oct352724
9202880
10120276
1182402
1259730
1342990
1431b92
1525986
hex1d5d4

120276 has 36 divisors (see below), whose sum is σ = 328692. Its totient is φ = 36864.

The previous prime is 120247. The next prime is 120277. The reversal of 120276 is 672021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 44100 = 276^2 + 210^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120277) by changing a digit.

120276 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 11 ways as a sum of consecutive naturals, for example, 340 + ... + 596.

2120276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164346).

120276 is an abundant number, since it is smaller than the sum of its proper divisors (208416).

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

120276 is a wasteful number, since it uses less digits than its factorization.

120276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 120276 is about 346.8083043988. The cubic root of 120276 is about 49.3620277837.

Adding to 120276 its reverse (672021), we get a palindrome (792297).

The spelling of 120276 in words is "one hundred twenty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 257 468 514 771 1028 1542 2313 3084 3341 4626 6682 9252 10023 13364 20046 30069 40092 60138 120276