Search a number
-
+
68741370 = 232517179251
BaseRepresentation
bin1000001100011…
…10100011111010
311210100102102200
410012032203322
5120044210440
610453211030
71463202105
oct406164372
9153312380
1068741370
1135891455
121b030a76
131131a989
1491b573c
15607cc30
hex418e8fa

68741370 has 96 divisors (see below), whose sum is σ = 191056320. Its totient is φ = 17088000.

The previous prime is 68741359. The next prime is 68741381. The reversal of 68741370 is 7314786.

It is an interprime number because it is at equal distance from previous prime (68741359) and next prime (68741381).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273745 + ... + 273995.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 268741370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68741370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160).

68741370 is an abundant number, since it is smaller than the sum of its proper divisors (122314950).

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

68741370 is a wasteful number, since it uses less digits than its factorization.

68741370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 68741370 is about 8291.0415509754. The cubic root of 68741370 is about 409.6434933889.

The spelling of 68741370 in words is "sixty-eight million, seven hundred forty-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 179 251 255 306 358 502 510 537 753 765 895 1074 1255 1506 1530 1611 1790 2259 2510 2685 3043 3222 3765 4267 4518 5370 6086 7530 8055 8534 9129 11295 12801 15215 16110 18258 21335 22590 25602 27387 30430 38403 42670 44929 45645 54774 64005 76806 89858 91290 128010 134787 136935 192015 224645 269574 273870 384030 404361 449290 673935 763793 808722 1347870 1527586 2021805 2291379 3818965 4043610 4582758 6874137 7637930 11456895 13748274 22913790 34370685 68741370