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114042192 = 24311435023
BaseRepresentation
bin1101100110000…
…10010101010000
321221120221110220
412303002111100
5213143322232
615152153040
72553225345
oct663022520
9257527426
10114042192
1159412650
1232238780
131a81c1b4
14112087cc
15a02a42c
hex6cc2550

114042192 has 80 divisors (see below), whose sum is σ = 328931328. Its totient is φ = 33747840.

The previous prime is 114042191. The next prime is 114042223. The reversal of 114042192 is 291240411.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114042191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20193 + ... + 25215.

Almost surely, 2114042192 is an apocalyptic number.

114042192 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 114042192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164465664).

114042192 is an abundant number, since it is smaller than the sum of its proper divisors (214889136).

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

114042192 is a wasteful number, since it uses less digits than its factorization.

114042192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114042192 is about 10679.0538906778. The cubic root of 114042192 is about 484.9405701793.

The spelling of 114042192 in words is "one hundred fourteen million, forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5023 5676 7568 10046 11352 15069 20092 22704 30138 40184 55253 60276 80368 110506 120552 165759 215989 221012 241104 331518 431978 442024 647967 663036 863956 884048 1295934 1326072 1727912 2375879 2591868 2652144 3455824 4751758 5183736 7127637 9503516 10367472 14255274 19007032 28510548 38014064 57021096 114042192