Search a number
-
+
8145940 = 2251161607
BaseRepresentation
bin11111000100110000010100
3120022212010111
4133010300110
54041132230
6450332404
7126145045
oct37046024
916285114
108145940
114664190
12288a104
1318c29aa
1411208cc
15aad92a
hex7c4c14

8145940 has 48 divisors (see below), whose sum is σ = 18998784. Its totient is φ = 2908800.

The previous prime is 8145937. The next prime is 8145971. The reversal of 8145940 is 495418.

It is a happy number.

8145940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

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, 13117 + ... + 13723.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 28145940 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 8145940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499392).

8145940 is an abundant number, since it is smaller than the sum of its proper divisors (10852844).

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

8145940 is a wasteful number, since it uses less digits than its factorization.

8145940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 8145940 is about 2854.1093181586. The cubic root of 8145940 is about 201.2088454098.

The spelling of 8145940 in words is "eight million, one hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 607 610 671 1214 1220 1342 2428 2684 3035 3355 6070 6677 6710 12140 13354 13420 26708 33385 37027 66770 74054 133540 148108 185135 370270 407297 740540 814594 1629188 2036485 4072970 8145940