Search a number
-
+
114932448 = 2532399071
BaseRepresentation
bin1101101100110…
…11101011100000
322000021011200100
412312123223200
5213410314243
615223222400
72563624011
oct666335340
9260234610
10114932448
11599704a4
12325a7a00
131aa71487
141139b008
15a1540d3
hex6d9bae0

114932448 has 36 divisors (see below), whose sum is σ = 326839968. Its totient is φ = 38310720.

The previous prime is 114932443. The next prime is 114932453. The reversal of 114932448 is 844239411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114932443) and next prime (114932453).

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114932443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199248 + ... + 199823.

It is an arithmetic number, because the mean of its divisors is an integer number (9078888).

Almost surely, 2114932448 is an apocalyptic number.

114932448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114932448 is an abundant number, since it is smaller than the sum of its proper divisors (211907520).

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

114932448 is a wasteful number, since it uses less digits than its factorization.

114932448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399087 (or 399076 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 114932448 is about 10720.6552038576. The cubic root of 114932448 is about 486.1991766038.

The spelling of 114932448 in words is "one hundred fourteen million, nine hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 399071 798142 1197213 1596284 2394426 3192568 3591639 4788852 6385136 7183278 9577704 12770272 14366556 19155408 28733112 38310816 57466224 114932448