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113894000 = 24531131167
BaseRepresentation
bin1101100100111…
…10001001110000
321221022102012022
412302132021300
5213124102000
615145051012
72552040323
oct662361160
9257272168
10113894000
1159321280
1232186a68
131a7998cc
14111aa7ba
159eeb585
hex6c9e270

113894000 has 160 divisors (see below), whose sum is σ = 311980032. Its totient is φ = 39840000.

The previous prime is 113893993. The next prime is 113894003. The reversal of 113894000 is 498311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113894003) 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, 681917 + ... + 682083.

Almost surely, 2113894000 is an apocalyptic number.

113894000 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 113894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990016).

113894000 is an abundant number, since it is smaller than the sum of its proper divisors (198086032).

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

113894000 is a wasteful number, since it uses less digits than its factorization.

113894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 113894000 is about 10672.1131928030. The cubic root of 113894000 is about 484.7304273009.

The spelling of 113894000 in words is "one hundred thirteen million, eight hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 125 155 167 176 200 220 248 250 275 310 334 341 400 440 496 500 550 620 668 682 775 835 880 1000 1100 1240 1336 1364 1375 1550 1670 1705 1837 2000 2200 2480 2672 2728 2750 3100 3340 3410 3674 3875 4175 4400 5177 5456 5500 6200 6680 6820 7348 7750 8350 8525 9185 10354 11000 12400 13360 13640 14696 15500 16700 17050 18370 20708 20875 22000 25885 27280 29392 31000 33400 34100 36740 41416 41750 42625 45925 51770 56947 62000 66800 68200 73480 82832 83500 85250 91850 103540 113894 129425 136400 146960 167000 170500 183700 207080 227788 229625 258850 284735 334000 341000 367400 414160 455576 459250 517700 569470 647125 682000 734800 911152 918500 1035400 1138940 1294250 1423675 1837000 2070800 2277880 2588500 2847350 3674000 4555760 5177000 5694700 7118375 10354000 11389400 14236750 22778800 28473500 56947000 113894000