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114412032 = 293273547
BaseRepresentation
bin1101101000111…
…00101000000000
321222021201210200
412310130220000
5213242141112
615204125200
72556325530
oct664345000
9258251720
10114412032
11596454a9
1232396800
131a91b637
14112a34c0
15a09ecdc
hex6d1ca00

114412032 has 120 divisors (see below), whose sum is σ = 377478816. Its totient is φ = 32679936.

The previous prime is 114412021. The next prime is 114412043. The reversal of 114412032 is 230214411.

It is an interprime number because it is at equal distance from previous prime (114412021) and next prime (114412043).

It is a super-2 number, since 2×1144120322 = 26180226132738048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114411996 and 114412014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30483 + ... + 34029.

Almost surely, 2114412032 is an apocalyptic number.

114412032 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 114412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188739408).

114412032 is an abundant number, since it is smaller than the sum of its proper divisors (263066784).

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

114412032 is an equidigital number, since it uses as much as digits as its factorization.

114412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114412032 is about 10696.3560150175. The cubic root of 114412032 is about 485.4642269285.

Adding to 114412032 its reverse (230214411), we get a palindrome (344626443).

The spelling of 114412032 in words is "one hundred fourteen million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3547 3584 4032 4608 5376 7094 8064 10641 10752 14188 16128 21282 24829 28376 31923 32256 42564 49658 56752 63846 74487 85128 99316 113504 127692 148974 170256 198632 223461 227008 255384 297948 340512 397264 446922 454016 510768 595896 681024 794528 893844 908032 1021536 1191792 1362048 1589056 1787688 1816064 2043072 2383584 2724096 3178112 3575376 4086144 4767168 5448192 6356224 7150752 8172288 9534336 12712448 14301504 16344576 19068672 28603008 38137344 57206016 114412032