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114120 = 23325317
BaseRepresentation
bin11011110111001000
312210112200
4123313020
512122440
62240200
7653466
oct336710
9183480
10114120
1178816
1256060
133cc36
142d836
1523c30
hex1bdc8

114120 has 48 divisors (see below), whose sum is σ = 372060. Its totient is φ = 30336.

The previous prime is 114113. The next prime is 114143. The reversal of 114120 is 21411.

Adding to 114120 its reverse (21411), we get a palindrome (135531).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 12996 = 318^2 + 114^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is an unprimeable number.

114120 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, 202 + ... + 518.

2114120 is an apocalyptic number.

114120 is a gapful number since it is divisible by the number (10) 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 114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186030).

114120 is an abundant number, since it is smaller than the sum of its proper divisors (257940).

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

114120 is a wasteful number, since it uses less digits than its factorization.

114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 114120 is about 337.8165182462. The cubic root of 114120 is about 48.5050832522.

The spelling of 114120 in words is "one hundred fourteen thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 317 360 634 951 1268 1585 1902 2536 2853 3170 3804 4755 5706 6340 7608 9510 11412 12680 14265 19020 22824 28530 38040 57060 114120