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111420400 = 24527133061
BaseRepresentation
bin1101010010000…
…10001111110000
321202122202001111
412221002033300
5212010423100
615020043104
72522025550
oct651021760
9252582044
10111420400
1157991883
1231393494
131a111a40
1410b25160
159bad6ba
hex6a423f0

111420400 has 120 divisors (see below), whose sum is σ = 329569184. Its totient is φ = 35251200.

The previous prime is 111420391. The next prime is 111420401. The reversal of 111420400 is 4024111.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111420401) 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, 34870 + ... + 37930.

Almost surely, 2111420400 is an apocalyptic number.

111420400 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 111420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164784592).

111420400 is an abundant number, since it is smaller than the sum of its proper divisors (218148784).

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

111420400 is a wasteful number, since it uses less digits than its factorization.

111420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3088 counting only the distinct ones).

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

The square root of 111420400 is about 10555.5861987859. The cubic root of 111420400 is about 481.1955152800.

Adding to 111420400 its reverse (4024111), we get a palindrome (115444511).

The spelling of 111420400 in words is "one hundred eleven million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3061 3640 4550 5200 6122 7280 9100 12244 15305 18200 21427 24488 30610 36400 39793 42854 48976 61220 76525 79586 85708 107135 122440 153050 159172 171416 198965 214270 244880 278551 306100 318344 342832 397930 428540 535675 557102 612200 636688 795860 857080 994825 1071350 1114204 1224400 1392755 1591720 1714160 1989650 2142700 2228408 2785510 3183440 3979300 4285400 4456816 5571020 6963775 7958600 8570800 11142040 13927550 15917200 22284080 27855100 55710200 111420400