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114457770 = 232571710687
BaseRepresentation
bin1101101001001…
…11110010101010
321222101001112200
412310213302222
5213300122040
615205121030
72556606060
oct664476252
9258331480
10114457770
11596768a9
12323b9176
131a9363bb
14112b6030
15a0ad630
hex6d27caa

114457770 has 96 divisors (see below), whose sum is σ = 360142848. Its totient is φ = 24620544.

The previous prime is 114457709. The next prime is 114457781. The reversal of 114457770 is 77754411.

114457770 is a `hidden beast` number, since 1 + 14 + 4 + 577 + 70 = 666.

It is a super-2 number, since 2×1144577702 = 26201162226745800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5367 + ... + 16053.

It is an arithmetic number, because the mean of its divisors is an integer number (3751488).

Almost surely, 2114457770 is an apocalyptic number.

114457770 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 114457770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180071424).

114457770 is an abundant number, since it is smaller than the sum of its proper divisors (245685078).

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

114457770 is a wasteful number, since it uses less digits than its factorization.

114457770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10724 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 114457770 is about 10698.4938192252. The cubic root of 114457770 is about 485.5289089503.

The spelling of 114457770 in words is "one hundred fourteen million, four hundred fifty-seven thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 5355 10687 10710 21374 32061 53435 64122 74809 96183 106870 149618 160305 181679 192366 224427 320610 363358 374045 448854 480915 545037 673281 748090 908395 961830 1090074 1122135 1271753 1346562 1635111 1816790 2244270 2543506 2725185 3270222 3366405 3815259 5450370 6358765 6732810 7630518 8175555 11445777 12717530 16351110 19076295 22891554 38152590 57228885 114457770