Search a number
-
+
114207840 = 2533526437
BaseRepresentation
bin1101100111010…
…10110001100000
321221220100201000
412303222301200
5213214122330
615155512000
72554515315
oct663526140
9257810630
10114207840
115951604a
12322b8600
131a879706
141124cd0c
15a05e560
hex6ceac60

114207840 has 96 divisors (see below), whose sum is σ = 399742560. Its totient is φ = 30454272.

The previous prime is 114207839. The next prime is 114207901. The reversal of 114207840 is 48702411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8899 + ... + 17538.

It is an arithmetic number, because the mean of its divisors is an integer number (4163985).

Almost surely, 2114207840 is an apocalyptic number.

114207840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114207840 is an abundant number, since it is smaller than the sum of its proper divisors (285534720).

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

114207840 is a wasteful number, since it uses less digits than its factorization.

114207840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26461 (or 26447 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114207840 is about 10686.8068196258. The cubic root of 114207840 is about 485.1752510820.

The spelling of 114207840 in words is "one hundred fourteen million, two hundred seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 26437 52874 79311 105748 132185 158622 211496 237933 264370 317244 396555 422992 475866 528740 634488 713799 793110 845984 951732 1057480 1189665 1268976 1427598 1586220 1903464 2114960 2379330 2537952 2855196 3172440 3568995 3806928 4229920 4758660 5710392 6344880 7137990 7613856 9517320 11420784 12689760 14275980 19034640 22841568 28551960 38069280 57103920 114207840