Search a number
-
+
894036640 = 25571942013
BaseRepresentation
bin110101010010011…
…110101010100000
32022022021202201011
4311102132222200
53312333133030
6224414150304
731104120550
oct6522365240
92268252634
10894036640
11419729a62
1220b4b2394
131132b9283
1486a47160
155374eb2a
hex3549eaa0

894036640 has 96 divisors (see below), whose sum is σ = 2541006720. Its totient is φ = 290386944.

The previous prime is 894036623. The next prime is 894036643. The reversal of 894036640 is 46630498.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 894036593 and 894036602.

It is not an unprimeable number, because it can be changed into a prime (894036643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274 + ... + 42286.

It is an arithmetic number, because the mean of its divisors is an integer number (26468820).

Almost surely, 2894036640 is an apocalyptic number.

894036640 is a gapful number since it is divisible by the number (80) 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 894036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270503360).

894036640 is an abundant number, since it is smaller than the sum of its proper divisors (1646970080).

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

894036640 is a wasteful number, since it uses less digits than its factorization.

894036640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42054 (or 42046 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 894036640 is about 29900.4454816312. The cubic root of 894036640 is about 963.3522274790.

The spelling of 894036640 in words is "eight hundred ninety-four million, thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 10640 21280 42013 84026 168052 210065 294091 336104 420130 588182 672208 798247 840260 1176364 1344416 1470455 1596494 1680520 2352728 2940910 3192988 3361040 3991235 4705456 5587729 5881820 6385976 6722080 7982470 9410912 11175458 11763640 12771952 15964940 22350916 23527280 25543904 27938645 31929880 44701832 47054560 55877290 63859760 89403664 111754580 127719520 178807328 223509160 447018320 894036640