[go: up one dir, main page]

Search a number
-
+
114237440 = 21352789
BaseRepresentation
bin1101100111100…
…10000000000000
321221221212022022
412303302000000
5213221044230
615200301012
72555000522
oct663620000
9257855268
10114237440
1159536309
1232311768
131a88a025
1411259a12
15a0681e5
hex6cf2000

114237440 has 56 divisors (see below), whose sum is σ = 274251420. Its totient is φ = 45678592.

The previous prime is 114237437. The next prime is 114237451. The reversal of 114237440 is 44732411.

It can be written as a sum of positive squares in 2 ways, for example, as 114233344 + 4096 = 10688^2 + 64^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39566 + ... + 42354.

Almost surely, 2114237440 is an apocalyptic number.

114237440 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 114237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137125710).

114237440 is an abundant number, since it is smaller than the sum of its proper divisors (160013980).

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

114237440 is an frugal number, since it uses more digits than its factorization.

114237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 114237440 is about 10688.1916150488. The cubic root of 114237440 is about 485.2171628192.

Adding to 114237440 its reverse (44732411), we get a palindrome (158969851).

The spelling of 114237440 in words is "one hundred fourteen million, two hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 2789 4096 5120 5578 8192 10240 11156 13945 20480 22312 27890 40960 44624 55780 89248 111560 178496 223120 356992 446240 713984 892480 1427968 1784960 2855936 3569920 5711872 7139840 11423744 14279680 22847488 28559360 57118720 114237440