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112038240 = 2535415693
BaseRepresentation
bin1101010110110…
…01000101100000
321210211010120110
412223121011200
5212140210430
615041211320
72530211046
oct653310540
9253733513
10112038240
1158273a96
1231630b40
131a29a022
1410c46396
159c817b0
hex6ad9160

112038240 has 96 divisors (see below), whose sum is σ = 361591776. Its totient is φ = 29143040.

The previous prime is 112038233. The next prime is 112038253. The reversal of 112038240 is 42830211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16834 + ... + 22526.

It is an arithmetic number, because the mean of its divisors is an integer number (3766581).

Almost surely, 2112038240 is an apocalyptic number.

112038240 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 112038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180795888).

112038240 is an abundant number, since it is smaller than the sum of its proper divisors (249553536).

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

112038240 is a wasteful number, since it uses less digits than its factorization.

112038240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 112038240 is about 10584.8117602535. The cubic root of 112038240 is about 482.0833060214.

Adding to 112038240 its reverse (42830211), we get a palindrome (154868451).

The spelling of 112038240 in words is "one hundred twelve million, thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 5693 6560 9840 11386 17079 19680 22772 28465 34158 45544 56930 68316 85395 91088 113860 136632 170790 182176 227720 233413 273264 341580 455440 466826 546528 683160 700239 910880 933652 1167065 1366320 1400478 1867304 2334130 2732640 2800956 3501195 3734608 4668260 5601912 7002390 7469216 9336520 11203824 14004780 18673040 22407648 28009560 37346080 56019120 112038240