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112119552 = 28345407
BaseRepresentation
bin1101010111011…
…00111100000000
321210222021010000
412223230330000
5212200311202
615043040000
72531000106
oct653547400
9253867100
10112119552
115831a096
1231670000
131a2c803c
1410c67c76
159c9a91c
hex6aecf00

112119552 has 90 divisors (see below), whose sum is σ = 334382048. Its totient is φ = 37366272.

The previous prime is 112119547. The next prime is 112119559. The reversal of 112119552 is 255911211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112119559) 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 9 ways as a sum of consecutive naturals, for example, 18033 + ... + 23439.

Almost surely, 2112119552 is an apocalyptic number.

112119552 is a gapful number since it is divisible by the number (12) 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 112119552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167191024).

112119552 is an abundant number, since it is smaller than the sum of its proper divisors (222262496).

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

112119552 is an frugal number, since it uses more digits than its factorization.

112119552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5412 counting only the distinct ones).

The product of its digits is 900, while the sum is 27.

The square root of 112119552 is about 10588.6520388574. The cubic root of 112119552 is about 482.1999021605.

The spelling of 112119552 in words is "one hundred twelve million, one hundred nineteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 5407 6912 10368 10814 16221 20736 21628 32442 43256 48663 64884 86512 97326 129768 145989 173024 194652 259536 291978 346048 389304 437967 519072 583956 692096 778608 875934 1038144 1167912 1384192 1557216 1751868 2076288 2335824 3114432 3503736 4152576 4671648 6228864 7007472 9343296 12457728 14014944 18686592 28029888 37373184 56059776 112119552