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114135532 = 22729367383
BaseRepresentation
bin1101100110110…
…01000111101100
321221202200111221
412303121013230
5213204314112
615154153124
72554064440
oct663310754
9257680457
10114135532
1159476795
12322827a4
131a852824
1411230820
15a047e07
hex6cd91ec

114135532 has 48 divisors (see below), whose sum is σ = 237404160. Its totient is φ = 46976832.

The previous prime is 114135493. The next prime is 114135577. The reversal of 114135532 is 235531411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114135497 and 114135506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297813 + ... + 298195.

It is an arithmetic number, because the mean of its divisors is an integer number (4945920).

Almost surely, 2114135532 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 114135532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118702080).

114135532 is an abundant number, since it is smaller than the sum of its proper divisors (123268628).

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

114135532 is a wasteful number, since it uses less digits than its factorization.

114135532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 788 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 114135532 is about 10683.4232341511. The cubic root of 114135532 is about 485.0728370433.

Adding to 114135532 its reverse (235531411), we get a palindrome (349666943).

The spelling of 114135532 in words is "one hundred fourteen million, one hundred thirty-five thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 367 383 406 734 766 812 1468 1532 2569 2681 5138 5362 10276 10643 10724 11107 21286 22214 42572 44428 74501 77749 140561 149002 155498 281122 298004 310996 562244 983927 1967854 3935708 4076269 8152538 16305076 28533883 57067766 114135532