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112152144 = 24313191941
BaseRepresentation
bin1101010111101…
…00111001010000
321211000220211010
412223310321100
5212202332034
615043450520
72531164116
oct653647120
9254026733
10112152144
1158341625
1231686a40
131a309b20
1410c75ab6
159ca53e9
hex6af4e50

112152144 has 80 divisors (see below), whose sum is σ = 313979904. Its totient is φ = 34291200.

The previous prime is 112152137. The next prime is 112152149. The reversal of 112152144 is 441251211.

It is a self number, because there is not a number n which added to its sum of digits gives 112152144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112152149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118714 + ... + 119654.

Almost surely, 2112152144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156989952).

112152144 is an abundant number, since it is smaller than the sum of its proper divisors (201827760).

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

112152144 is a wasteful number, since it uses less digits than its factorization.

112152144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1150 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 112152144 is about 10590.1909331230. The cubic root of 112152144 is about 482.2466211503.

The spelling of 112152144 in words is "one hundred twelve million, one hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 191 208 312 382 573 624 764 941 1146 1528 1882 2292 2483 2823 3056 3764 4584 4966 5646 7449 7528 9168 9932 11292 12233 14898 15056 19864 22584 24466 29796 36699 39728 45168 48932 59592 73398 97864 119184 146796 179731 195728 293592 359462 539193 587184 718924 1078386 1437848 2156772 2336503 2875696 4313544 4673006 7009509 8627088 9346012 14019018 18692024 28038036 37384048 56076072 112152144