Search a number
-
+
114653190 = 235311131091
BaseRepresentation
bin1101101010101…
…11100000000110
321222201222121110
412311113200012
5213322400230
615213225450
72561351601
oct665274006
9258658543
10114653190
115979a703
1232492286
131a9a4332
1411327338
15a0eb4b0
hex6d57806

114653190 has 64 divisors (see below), whose sum is σ = 286820352. Its totient is φ = 29299200.

The previous prime is 114653173. The next prime is 114653197. The reversal of 114653190 is 91356411.

It is a super-2 number, since 2×1146531902 = 26290707954352200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114653197) 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, 104545 + ... + 105635.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2114653190 is an apocalyptic number.

114653190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114653190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

114653190 is an abundant number, since it is smaller than the sum of its proper divisors (172167162).

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

114653190 is a wasteful number, since it uses less digits than its factorization.

114653190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 114653190 is about 10707.6229855183. The cubic root of 114653190 is about 485.8050751772.

The spelling of 114653190 in words is "one hundred fourteen million, six hundred fifty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 113 155 186 226 310 339 465 565 678 930 1091 1130 1695 2182 3273 3390 3503 5455 6546 7006 10509 10910 16365 17515 21018 32730 33821 35030 52545 67642 101463 105090 123283 169105 202926 246566 338210 369849 507315 616415 739698 1014630 1232830 1849245 3698490 3821773 7643546 11465319 19108865 22930638 38217730 57326595 114653190