Search a number
-
+
610134870 = 235313072137
BaseRepresentation
bin100100010111011…
…110101101010110
31120112002001200210
4210113132231112
52222143303440
6140313150250
721056026602
oct4427365526
91515061623
10610134870
112934503a4
121503bb386
1399536967
145b064502
1538870a80
hex245deb56

610134870 has 64 divisors (see below), whose sum is σ = 1517193216. Its totient is φ = 156867840.

The previous prime is 610134851. The next prime is 610134907. The reversal of 610134870 is 78431016.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284442 + ... + 286578.

It is an arithmetic number, because the mean of its divisors is an integer number (23706144).

Almost surely, 2610134870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610134870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758596608).

610134870 is an abundant number, since it is smaller than the sum of its proper divisors (907058346).

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

610134870 is a wasteful number, since it uses less digits than its factorization.

610134870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 610134870 is about 24700.9082828952. The cubic root of 610134870 is about 848.1551082047.

Adding to 610134870 its reverse (78431016), we get a palindrome (688565886).

The spelling of 610134870 in words is "six hundred ten million, one hundred thirty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 307 310 465 614 921 930 1535 1842 2137 3070 4274 4605 6411 9210 9517 10685 12822 19034 21370 28551 32055 47585 57102 64110 66247 95170 132494 142755 198741 285510 331235 397482 656059 662470 993705 1312118 1968177 1987410 3280295 3936354 6560590 9840885 19681770 20337829 40675658 61013487 101689145 122026974 203378290 305067435 610134870