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112104400 = 2452476789
BaseRepresentation
bin1101010111010…
…01001111010000
321210221111022211
412223221033100
5212144320100
615042441504
72530604662
oct653511720
9253844284
10112104400
1158309771
1231663294
131a2c1185
1410c62532
159c961ba
hex6ae93d0

112104400 has 120 divisors (see below), whose sum is σ = 282303360. Its totient is φ = 42746880.

The previous prime is 112104383. The next prime is 112104407. The reversal of 112104400 is 4401211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112104407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1259556 + ... + 1259644.

It is an arithmetic number, because the mean of its divisors is an integer number (2352528).

Almost surely, 2112104400 is an apocalyptic number.

112104400 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 112104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141151680).

112104400 is an abundant number, since it is smaller than the sum of its proper divisors (170198960).

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

112104400 is a wasteful number, since it uses less digits than its factorization.

112104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 112104400 is about 10587.9365317327. The cubic root of 112104400 is about 482.1781794489.

Adding to 112104400 its reverse (4401211), we get a palindrome (116505611).

The spelling of 112104400 in words is "one hundred twelve million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 67 80 89 94 100 134 178 188 200 235 268 335 356 376 400 445 470 536 670 712 752 890 940 1072 1175 1340 1424 1675 1780 1880 2225 2350 2680 3149 3350 3560 3760 4183 4450 4700 5360 5963 6298 6700 7120 8366 8900 9400 11926 12596 13400 15745 16732 17800 18800 20915 23852 25192 26800 29815 31490 33464 35600 41830 47704 50384 59630 62980 66928 78725 83660 95408 104575 119260 125960 149075 157450 167320 209150 238520 251920 280261 298150 314900 334640 418300 477040 560522 596300 629800 836600 1121044 1192600 1259600 1401305 1673200 2242088 2385200 2802610 4484176 5605220 7006525 11210440 14013050 22420880 28026100 56052200 112104400