Search a number
-
+
8144940 = 22352931151
BaseRepresentation
bin11111000100100000101100
3120022210202110
4133010200230
54041114230
6450324020
7126142116
oct37044054
916283673
108144940
114663461
122889610
1318c23bb
1411203b6
15aad4b0
hex7c482c

8144940 has 96 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 2016000.

The previous prime is 8144933. The next prime is 8144951. The reversal of 8144940 is 494418.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8144898 and 8144907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53865 + ... + 54015.

It is an arithmetic number, because the mean of its divisors is an integer number (255360).

Almost surely, 28144940 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 8144940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257280).

8144940 is an abundant number, since it is smaller than the sum of its proper divisors (16369620).

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

8144940 is a wasteful number, since it uses less digits than its factorization.

8144940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8144940 is about 2853.9341267801. The cubic root of 8144940 is about 201.2006115706.

The spelling of 8144940 in words is "eight million, one hundred forty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 31 58 60 62 87 93 116 124 145 151 155 174 186 290 302 310 348 372 435 453 465 580 604 620 755 870 899 906 930 1510 1740 1798 1812 1860 2265 2697 3020 3596 4379 4495 4530 4681 5394 8758 8990 9060 9362 10788 13137 13485 14043 17516 17980 18724 21895 23405 26274 26970 28086 43790 46810 52548 53940 56172 65685 70215 87580 93620 131370 135749 140430 262740 271498 280860 407247 542996 678745 814494 1357490 1628988 2036235 2714980 4072470 8144940