Search a number
-
+
114942780 = 223351719659
BaseRepresentation
bin1101101100111…
…10001100111100
322000021200212000
412312132030330
5213411132110
615223342300
72563666101
oct666361474
9260250760
10114942780
1159978237
12325b1990
131aa760a4
14113a0aa8
15a1571c0
hex6d9e33c

114942780 has 192 divisors, whose sum is σ = 399168000. Its totient is φ = 27288576.

The previous prime is 114942733. The next prime is 114942791. The reversal of 114942780 is 87249411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174091 + ... + 174749.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 2114942780 is an apocalyptic number.

114942780 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 114942780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

114942780 is an abundant number, since it is smaller than the sum of its proper divisors (284225220).

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

114942780 is a wasteful number, since it uses less digits than its factorization.

114942780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 114942780 is about 10721.1370665616. The cubic root of 114942780 is about 486.2137453337.

The spelling of 114942780 in words is "one hundred fourteen million, nine hundred forty-two thousand, seven hundred eighty".