Search a number
-
+
114829092 = 223274310597
BaseRepresentation
bin1101101100000…
…10011100100100
322000001220220100
412312002130210
5213344012332
615221104100
72563013460
oct666023444
9260056810
10114829092
11598aa884
1232558030
131aa36411
14113714a0
15a13367c
hex6d82724

114829092 has 72 divisors (see below), whose sum is σ = 339475136. Its totient is φ = 32042304.

The previous prime is 114829079. The next prime is 114829097. The reversal of 114829092 is 290928411.

114829092 is a `hidden beast` number, since 1 + 1 + 482 + 90 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114829097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5538 + ... + 16134.

Almost surely, 2114829092 is an apocalyptic number.

114829092 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 114829092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169737568).

114829092 is an abundant number, since it is smaller than the sum of its proper divisors (224646044).

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

114829092 is a wasteful number, since it uses less digits than its factorization.

114829092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114829092 is about 10715.8337053166. The cubic root of 114829092 is about 486.0533904663.

The spelling of 114829092 in words is "one hundred fourteen million, eight hundred twenty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10597 10836 21194 31791 42388 63582 74179 95373 127164 148358 190746 222537 296716 381492 445074 455671 667611 890148 911342 1335222 1367013 1822684 2670444 2734026 3189697 4101039 5468052 6379394 8202078 9569091 12758788 16404156 19138182 28707273 38276364 57414546 114829092