Search a number
-
+
659645140 = 2257111014241
BaseRepresentation
bin100111010100010…
…110001011010100
31200222020110000111
4213110112023110
52322332121030
6145242252404
722226614450
oct4724261324
91628213014
10659645140
11309397180
12164ab7104
13a688018b
1463871660
153cda062a
hex275162d4

659645140 has 96 divisors (see below), whose sum is σ = 1744581888. Its totient is φ = 203520000.

The previous prime is 659645123. The next prime is 659645149. The reversal of 659645140 is 41546956.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 659645093 and 659645102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (659645149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153420 + ... + 157660.

It is an arithmetic number, because the mean of its divisors is an integer number (18172728).

Almost surely, 2659645140 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 659645140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872290944).

659645140 is an abundant number, since it is smaller than the sum of its proper divisors (1084936748).

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

659645140 is a wasteful number, since it uses less digits than its factorization.

659645140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 659645140 is about 25683.5577753550. The cubic root of 659645140 is about 870.5026997435.

The spelling of 659645140 in words is "six hundred fifty-nine million, six hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4241 4444 5555 7070 7777 8482 11110 14140 15554 16964 21205 22220 29687 31108 38885 42410 46651 59374 77770 84820 93302 118748 148435 155540 186604 233255 296870 326557 428341 466510 593740 653114 856682 933020 1306228 1632785 1713364 2141705 2998387 3265570 4283410 4711751 5996774 6531140 8566820 9423502 11993548 14991935 18847004 23558755 29983870 32982257 47117510 59967740 65964514 94235020 131929028 164911285 329822570 659645140