[go: up one dir, main page]

Search a number
-
+
114533776 = 24721391051
BaseRepresentation
bin1101101001110…
…10010110010000
321222111220210201
412310322112100
5213310040101
615210504544
72560343500
oct664722620
9258456721
10114533776
1159718a15
1232435154
131a961b86
14112d5a00
15a0c5e01
hex6d3a590

114533776 has 60 divisors (see below), whose sum is σ = 260243760. Its totient is φ = 48686400.

The previous prime is 114533737. The next prime is 114533791. The reversal of 114533776 is 677335411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108451 + ... + 109501.

It is an arithmetic number, because the mean of its divisors is an integer number (4337396).

Almost surely, 2114533776 is an apocalyptic number.

114533776 is a gapful number since it is divisible by the number (16) 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 114533776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130121880).

114533776 is an abundant number, since it is smaller than the sum of its proper divisors (145709984).

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

114533776 is a wasteful number, since it uses less digits than its factorization.

114533776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1199 counting only the distinct ones).

The product of its digits is 52920, while the sum is 37.

The square root of 114533776 is about 10702.0454119762. The cubic root of 114533776 is about 485.6363574434.

The spelling of 114533776 in words is "one hundred fourteen million, five hundred thirty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 139 196 278 392 556 784 973 1051 1112 1946 2102 2224 3892 4204 6811 7357 7784 8408 13622 14714 15568 16816 27244 29428 51499 54488 58856 102998 108976 117712 146089 205996 292178 411992 584356 823984 1022623 1168712 2045246 2337424 4090492 7158361 8180984 14316722 16361968 28633444 57266888 114533776