Search a number
-
+
114786672 = 243711132389
BaseRepresentation
bin1101101011110…
…00000101110000
321222222202201020
412311320011300
5213341133142
615220135440
72562446010
oct665700560
9258882636
10114786672
1159880a20
1232537580
131aa20010
141135dc40
15a125cec
hex6d78170

114786672 has 160 divisors (see below), whose sum is σ = 398307840. Its totient is φ = 27509760.

The previous prime is 114786671. The next prime is 114786673. The reversal of 114786672 is 276687411.

It is an interprime number because it is at equal distance from previous prime (114786671) and next prime (114786673).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114786671) 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, 46854 + ... + 49242.

It is an arithmetic number, because the mean of its divisors is an integer number (2489424).

Almost surely, 2114786672 is an apocalyptic number.

114786672 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 114786672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199153920).

114786672 is an abundant number, since it is smaller than the sum of its proper divisors (283521168).

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

114786672 is a wasteful number, since it uses less digits than its factorization.

114786672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2425 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 114786672 is about 10713.8542084537. The cubic root of 114786672 is about 485.9935307103.

The spelling of 114786672 in words is "one hundred fourteen million, seven hundred eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 2389 3003 3432 3696 4004 4368 4778 6006 6864 7167 8008 9556 12012 14334 16016 16723 19112 24024 26279 28668 31057 33446 38224 48048 50169 52558 57336 62114 66892 78837 93171 100338 105116 114672 124228 133784 157674 183953 186342 200676 210232 217399 248456 267568 315348 341627 367906 372684 401352 420464 434798 496912 551859 630696 652197 683254 735812 745368 802704 869596 1024881 1103718 1261392 1304394 1366508 1471624 1490736 1739192 2049762 2207436 2391389 2608788 2733016 2943248 3478384 4099524 4414872 4782778 5217576 5466032 7174167 8199048 8829744 9565556 10435152 14348334 16398096 19131112 28696668 38262224 57393336 114786672