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112630144 = 2711167479
BaseRepresentation
bin1101011011010…
…01100110000000
321211221012111211
412231221212000
5212313131034
615102015504
72535224524
oct655514600
9254835454
10112630144
1158638770
1231877594
131a446573
1410d5bd84
159d4bd64
hex6b69980

112630144 has 64 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 50782720.

The previous prime is 112630129. The next prime is 112630159. The reversal of 112630144 is 441036211.

It is an interprime number because it is at equal distance from previous prime (112630129) and next prime (112630159).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234897 + ... + 235375.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2112630144 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 112630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

112630144 is an abundant number, since it is smaller than the sum of its proper divisors (134128256).

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

112630144 is a wasteful number, since it uses less digits than its factorization.

112630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 112630144 is about 10612.7349915090. The cubic root of 112630144 is about 482.9307726412.

Adding to 112630144 its reverse (441036211), we get a palindrome (553666355).

The spelling of 112630144 in words is "one hundred twelve million, six hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 167 176 334 352 479 668 704 958 1336 1408 1837 1916 2672 3674 3832 5269 5344 7348 7664 10538 10688 14696 15328 21076 21376 29392 30656 42152 58784 61312 79993 84304 117568 159986 168608 235136 319972 337216 639944 674432 879923 1279888 1759846 2559776 3519692 5119552 7039384 10239104 14078768 28157536 56315072 112630144