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114443640 = 23325437393
BaseRepresentation
bin1101101001001…
…00010101111000
321222100100011100
412310210111320
5213244144030
615204531400
72556516633
oct664442570
9258310140
10114443640
1159667223
12323b0b60
131a92cb3c
14112b0c1a
15a0a9360
hex6d24578

114443640 has 96 divisors (see below), whose sum is σ = 380643120. Its totient is φ = 29804544.

The previous prime is 114443617. The next prime is 114443671. The reversal of 114443640 is 46344411.

114443640 is a `hidden beast` number, since 1 + 14 + 4 + 4 + 3 + 640 = 666.

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 23 ways as a sum of consecutive naturals, for example, 11784 + ... + 19176.

Almost surely, 2114443640 is an apocalyptic number.

114443640 is a gapful number since it is divisible by the number (10) 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 114443640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190321560).

114443640 is an abundant number, since it is smaller than the sum of its proper divisors (266199480).

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

114443640 is a wasteful number, since it uses less digits than its factorization.

114443640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7453 (or 7446 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 114443640 is about 10697.8334255119. The cubic root of 114443640 is about 485.5089283473.

The spelling of 114443640 in words is "one hundred fourteen million, four hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7393 7740 14786 15480 22179 29572 36965 44358 59144 66537 73930 88716 110895 133074 147860 177432 221790 266148 295720 317899 332685 443580 532296 635798 665370 887160 953697 1271596 1330740 1589495 1907394 2543192 2661480 2861091 3178990 3814788 4768485 5722182 6357980 7629576 9536970 11444364 12715960 14305455 19073940 22888728 28610910 38147880 57221820 114443640