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114424032 = 2534353523
BaseRepresentation
bin1101101000111…
…11100011100000
321222022100021010
412310133203200
5213243032112
615204300520
72556405522
oct664374340
9258270233
10114424032
1159653518
12323a1740
131a923c38
14112a7a12
15a0a363c
hex6d1f8e0

114424032 has 96 divisors (see below), whose sum is σ = 313746048. Its totient is φ = 36481536.

The previous prime is 114424021. The next prime is 114424067. The reversal of 114424032 is 230424411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 218523 + ... + 219045.

It is an arithmetic number, because the mean of its divisors is an integer number (3268188).

Almost surely, 2114424032 is an apocalyptic number.

114424032 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 114424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156873024).

114424032 is an abundant number, since it is smaller than the sum of its proper divisors (199322016).

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

114424032 is a wasteful number, since it uses less digits than its factorization.

114424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 114424032 is about 10696.9169390063. The cubic root of 114424032 is about 485.4811988238.

Adding to 114424032 its reverse (230424411), we get a palindrome (344848443).

The spelling of 114424032 in words is "one hundred fourteen million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 53 86 96 106 129 159 172 212 258 318 344 424 516 523 636 688 848 1032 1046 1272 1376 1569 1696 2064 2092 2279 2544 3138 4128 4184 4558 5088 6276 6837 8368 9116 12552 13674 16736 18232 22489 25104 27348 27719 36464 44978 50208 54696 55438 67467 72928 83157 89956 109392 110876 134934 166314 179912 218784 221752 269868 332628 359824 443504 539736 665256 719648 887008 1079472 1191917 1330512 2158944 2383834 2661024 3575751 4767668 7151502 9535336 14303004 19070672 28606008 38141344 57212016 114424032