Search a number
-
+
114953094 = 23741641
BaseRepresentation
bin1101101101000…
…00101110000110
322000022020000000
412312200232012
5213411444334
615223502130
72564041134
oct666405606
9260266000
10114953094
1159984a63
12325b7946
131aa7a9a9
14113a4754
15a15a299
hex6da0b86

114953094 has 64 divisors (see below), whose sum is σ = 265325760. Its totient is φ = 37324800.

The previous prime is 114953093. The next prime is 114953101. The reversal of 114953094 is 490359411.

It is a happy number.

114953094 is a `hidden beast` number, since 114 + 9 + 530 + 9 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114953093) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 179014 + ... + 179654.

It is an arithmetic number, because the mean of its divisors is an integer number (4145715).

Almost surely, 2114953094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114953094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132662880).

114953094 is an abundant number, since it is smaller than the sum of its proper divisors (150372666).

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

114953094 is an frugal number, since it uses more digits than its factorization.

114953094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 114953094 is about 10721.6180681836. The cubic root of 114953094 is about 486.2282878118.

The spelling of 114953094 in words is "one hundred fourteen million, nine hundred fifty-three thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 641 729 738 1107 1282 1458 1923 2187 2214 3321 3846 4374 5769 6642 9963 11538 17307 19926 26281 29889 34614 51921 52562 59778 78843 89667 103842 155763 157686 179334 236529 311526 467289 473058 709587 934578 1401867 1419174 2128761 2803734 4257522 6386283 12772566 19158849 38317698 57476547 114953094