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114863040 = 2632539883
BaseRepresentation
bin1101101100010…
…10101111000000
322000010122110200
412312022233000
5213401104130
615221525200
72563214445
oct666125700
9260118420
10114863040
1159923336
1232573800
131aa489c6
141137d9cc
15a13d760
hex6d8abc0

114863040 has 84 divisors (see below), whose sum is σ = 395090904. Its totient is φ = 30629376.

The previous prime is 114863039. The next prime is 114863069. The reversal of 114863040 is 40368411.

It is a junction number, because it is equal to n+sod(n) for n = 114862995 and 114863013.

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 11 ways as a sum of consecutive naturals, for example, 17062 + ... + 22821.

Almost surely, 2114863040 is an apocalyptic number.

114863040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114863040 is an abundant number, since it is smaller than the sum of its proper divisors (280227864).

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

114863040 is a wasteful number, since it uses less digits than its factorization.

114863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39906 (or 39893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114863040 is about 10717.4175994033. The cubic root of 114863040 is about 486.1012845856.

The spelling of 114863040 in words is "one hundred fourteen million, eight hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 39883 79766 119649 159532 199415 239298 319064 358947 398830 478596 598245 638128 717894 797660 957192 1196490 1276256 1435788 1595320 1794735 1914384 2392980 2552512 2871576 3190640 3589470 3828768 4785960 5743152 6381280 7178940 7657536 9571920 11486304 12762560 14357880 19143840 22972608 28715760 38287680 57431520 114863040