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1112740640 = 255111574027
BaseRepresentation
bin100001001010011…
…0001001100100000
32212112211002012022
41002110301030200
54234330200030
6302225521012
736401065544
oct10224611440
92775732168
101112740640
11521127570
122707a3168
131496c1b1b
14a7ad7a24
1567a50de5
hex42531320

1112740640 has 96 divisors (see below), whose sum is σ = 2886819264. Its totient is φ = 401955840.

The previous prime is 1112740633. The next prime is 1112740669. The reversal of 1112740640 is 460472111.

It is a super-3 number, since 3×11127406403 (a number of 28 digits) contains 333 as substring.

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, 274307 + ... + 278333.

It is an arithmetic number, because the mean of its divisors is an integer number (30071034).

Almost surely, 21112740640 is an apocalyptic number.

1112740640 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 1112740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443409632).

1112740640 is an abundant number, since it is smaller than the sum of its proper divisors (1774078624).

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

1112740640 is a wasteful number, since it uses less digits than its factorization.

1112740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1112740640 is about 33357.7673113774. The cubic root of 1112740640 is about 1036.2502538410.

The spelling of 1112740640 in words is "one billion, one hundred twelve million, seven hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 157 160 176 220 314 352 440 628 785 880 1256 1570 1727 1760 2512 3140 3454 4027 5024 6280 6908 8054 8635 12560 13816 16108 17270 20135 25120 27632 32216 34540 40270 44297 55264 64432 69080 80540 88594 128864 138160 161080 177188 221485 276320 322160 354376 442970 632239 644320 708752 885940 1264478 1417504 1771880 2528956 3161195 3543760 5057912 6322390 6954629 7087520 10115824 12644780 13909258 20231648 25289560 27818516 34773145 50579120 55637032 69546290 101158240 111274064 139092580 222548128 278185160 556370320 1112740640