Search a number
-
+
655116540 = 223513899437
BaseRepresentation
bin100111000011000…
…100100011111100
31200122201100221120
4213003010203330
52320202212130
6145001230540
722143253521
oct4703044374
91618640846
10655116540
11306883831
12163492450
13a5955b30
1463013148
153c7a8910
hex270c48fc

655116540 has 96 divisors (see below), whose sum is σ = 1997835840. Its totient is φ = 159430656.

The previous prime is 655116529. The next prime is 655116541. The reversal of 655116540 is 45611556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655116541) 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, 64702 + ... + 74138.

It is an arithmetic number, because the mean of its divisors is an integer number (20810790).

Almost surely, 2655116540 is an apocalyptic number.

655116540 is a gapful number since it is divisible by the number (60) 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 655116540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998917920).

655116540 is an abundant number, since it is smaller than the sum of its proper divisors (1342719300).

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

655116540 is a wasteful number, since it uses less digits than its factorization.

655116540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9551 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 655116540 is about 25595.2444801764. The cubic root of 655116540 is about 868.5060634231.

The spelling of 655116540 in words is "six hundred fifty-five million, one hundred sixteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 89 130 156 178 195 260 267 356 390 445 534 780 890 1068 1157 1335 1780 2314 2670 3471 4628 5340 5785 6942 9437 11570 13884 17355 18874 23140 28311 34710 37748 47185 56622 69420 94370 113244 122681 141555 188740 245362 283110 368043 490724 566220 613405 736086 839893 1226810 1472172 1679786 1840215 2453620 2519679 3359572 3680430 4199465 5039358 7360860 8398930 10078716 10918609 12598395 16797860 21837218 25196790 32755827 43674436 50393580 54593045 65511654 109186090 131023308 163779135 218372180 327558270 655116540