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114383752 = 23717532267
BaseRepresentation
bin1101101000101…
…01101110001000
321222020022000021
412310111232020
5213240240002
615203350224
72556150220
oct664255610
9258208007
10114383752
115962622a
1232382374
131a90b7c2
1411297080
15a096737
hex6d15b88

114383752 has 64 divisors (see below), whose sum is σ = 264539520. Its totient is φ = 45247488.

The previous prime is 114383729. The next prime is 114383771. The reversal of 114383752 is 257383411.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 15 ways as a sum of consecutive naturals, for example, 49323 + ... + 51589.

It is an arithmetic number, because the mean of its divisors is an integer number (4133430).

Almost surely, 2114383752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114383752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132269760).

114383752 is an abundant number, since it is smaller than the sum of its proper divisors (150155768).

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

114383752 is a wasteful number, since it uses less digits than its factorization.

114383752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2346 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 114383752 is about 10695.0339877908. The cubic root of 114383752 is about 485.4242251344.

The spelling of 114383752 in words is "one hundred fourteen million, three hundred eighty-three thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 53 56 68 106 119 136 212 238 371 424 476 742 901 952 1484 1802 2267 2968 3604 4534 6307 7208 9068 12614 15869 18136 25228 31738 38539 50456 63476 77078 120151 126952 154156 240302 269773 308312 480604 539546 841057 961208 1079092 1682114 2042567 2158184 3364228 4085134 6728456 8170268 14297969 16340536 28595938 57191876 114383752