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5040140 = 2257237139
BaseRepresentation
bin10011001110100000001100
3100111001202212
4103032200030
52242241030
6300005552
760561200
oct23164014
910431685
105040140
112932806
1218308b8
131076141
14952b00
15698595
hex4ce80c

5040140 has 72 divisors (see below), whose sum is σ = 12736080. Its totient is φ = 1669248.

The previous prime is 5040131. The next prime is 5040163. The reversal of 5040140 is 410405.

It is a super-2 number, since 2×50401402 = 50806022439200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36191 + ... + 36329.

It is an arithmetic number, because the mean of its divisors is an integer number (176890).

Almost surely, 25040140 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 5040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368040).

5040140 is an abundant number, since it is smaller than the sum of its proper divisors (7695940).

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

5040140 is a wasteful number, since it uses less digits than its factorization.

5040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 5040140 is about 2245.0256123261. The cubic root of 5040140 is about 171.4539651536.

Adding to 5040140 its reverse (410405), we get a palindrome (5450545).

It can be divided in two parts, 5040 and 140, that multiplied together give a square (705600 = 8402).

The spelling of 5040140 in words is "five million, forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 139 140 148 185 196 245 259 278 370 490 518 556 695 740 973 980 1036 1295 1390 1813 1946 2590 2780 3626 3892 4865 5143 5180 6811 7252 9065 9730 10286 13622 18130 19460 20572 25715 27244 34055 36001 36260 51430 68110 72002 102860 136220 144004 180005 252007 360010 504014 720020 1008028 1260035 2520070 5040140