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112413400 = 235211371381
BaseRepresentation
bin1101011001101…
…00101011011000
321211112012012021
412230310223120
5212234212100
615053224224
72533332601
oct654645330
9254465167
10112413400
11584aa940
1231792074
131a39ba08
1410d02da8
159d07a1a
hex6b34ad8

112413400 has 96 divisors (see below), whose sum is σ = 293039280. Its totient is φ = 39744000.

The previous prime is 112413373. The next prime is 112413407. The reversal of 112413400 is 4314211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112413407) 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, 80710 + ... + 82090.

Almost surely, 2112413400 is an apocalyptic number.

112413400 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 112413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146519640).

112413400 is an abundant number, since it is smaller than the sum of its proper divisors (180625880).

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

112413400 is a wasteful number, since it uses less digits than its factorization.

112413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 112413400 is about 10602.5185687175. The cubic root of 112413400 is about 482.6207917933.

Adding to 112413400 its reverse (4314211), we get a palindrome (116727611).

It can be divided in two parts, 11241 and 3400, that added together give a palindrome (14641).

The spelling of 112413400 in words is "one hundred twelve million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 148 185 200 220 275 296 370 407 440 550 740 814 925 1100 1381 1480 1628 1850 2035 2200 2762 3256 3700 4070 5524 6905 7400 8140 10175 11048 13810 15191 16280 20350 27620 30382 34525 40700 51097 55240 60764 69050 75955 81400 102194 121528 138100 151910 204388 255485 276200 303820 379775 408776 510970 562067 607640 759550 1021940 1124134 1277425 1519100 2043880 2248268 2554850 2810335 3038200 4496536 5109700 5620670 10219400 11241340 14051675 22482680 28103350 56206700 112413400