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112995648 = 263471307
BaseRepresentation
bin1101011110000…
…10110101000000
321212121202220000
412233002311000
5212411330043
615113520000
72541306243
oct657026500
9255552800
10112995648
1158868337
1231a13000
131a543a3c
141101525a
159dc02d3
hex6bc2d40

112995648 has 140 divisors (see below), whose sum is σ = 340778592. Its totient is φ = 37013760.

The previous prime is 112995647. The next prime is 112995667. The reversal of 112995648 is 846599211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112995647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 367911 + ... + 368217.

Almost surely, 2112995648 is an apocalyptic number.

112995648 is a gapful number since it is divisible by the number (18) 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 112995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170389296).

112995648 is an abundant number, since it is smaller than the sum of its proper divisors (227782944).

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

112995648 is an equidigital number, since it uses as much as digits as its factorization.

112995648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 112995648 is about 10629.9411099027. The cubic root of 112995648 is about 483.4526061042.

The spelling of 112995648 in words is "one hundred twelve million, nine hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 142 144 162 192 213 216 284 288 307 324 426 432 568 576 614 639 648 852 864 921 1136 1228 1278 1296 1704 1728 1842 1917 2272 2456 2556 2592 2763 3408 3684 3834 4544 4912 5112 5184 5526 5751 6816 7368 7668 8289 9824 10224 11052 11502 13632 14736 15336 16578 19648 20448 21797 22104 23004 24867 29472 30672 33156 40896 43594 44208 46008 49734 58944 61344 65391 66312 87188 88416 92016 99468 122688 130782 132624 174376 176832 184032 196173 198936 261564 265248 348752 368064 392346 397872 523128 530496 588519 697504 784692 795744 1046256 1177038 1395008 1569384 1591488 1765557 2092512 2354076 3138768 3531114 4185024 4708152 6277536 7062228 9416304 12555072 14124456 18832608 28248912 37665216 56497824 112995648