Search a number
-
+
114035454 = 232132191973
BaseRepresentation
bin1101100110000…
…00101011111110
321221120121020100
412303000223332
5213143113304
615152101530
72553166611
oct663005376
9257517210
10114035454
1159408585
12322348a6
131a819100
1411206178
15a028439
hex6cc0afe

114035454 has 72 divisors (see below), whose sum is σ = 281768760. Its totient is φ = 33224256.

The previous prime is 114035447. The next prime is 114035477. The reversal of 114035454 is 454530411.

It is a happy number.

114035454 is a `hidden beast` number, since 114 + 0 + 3 + 545 + 4 = 666.

It is a super-2 number, since 2×1140354542 = 26008169537972232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56812 + ... + 58784.

It is an arithmetic number, because the mean of its divisors is an integer number (3913455).

Almost surely, 2114035454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114035454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140884380).

114035454 is an abundant number, since it is smaller than the sum of its proper divisors (167733306).

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

114035454 is a wasteful number, since it uses less digits than its factorization.

114035454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 114035454 is about 10678.7384086324. The cubic root of 114035454 is about 484.9310193460.

Adding to 114035454 its reverse (454530411), we get a palindrome (568565865).

The spelling of 114035454 in words is "one hundred fourteen million, thirty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 169 171 234 247 338 342 494 507 741 1014 1482 1521 1973 2223 3042 3211 3946 4446 5919 6422 9633 11838 17757 19266 25649 28899 35514 37487 51298 57798 74974 76947 112461 153894 224922 230841 333437 337383 461682 487331 666874 674766 974662 1000311 1461993 2000622 2923986 3000933 4385979 6001866 6335303 8771958 12670606 19005909 38011818 57017727 114035454