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122714340 = 223571571861
BaseRepresentation
bin1110101000001…
…11100011100100
322112220112102120
413110013203210
5222403324330
620102105540
73020024520
oct724074344
9275815376
10122714340
11632a6111
123511b2b0
131c567548
1412424d80
15ab8ec10
hex75078e4

122714340 has 96 divisors (see below), whose sum is σ = 395399424. Its totient is φ = 27855360.

The previous prime is 122714323. The next prime is 122714351. The reversal of 122714340 is 43417221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122714340.

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 31 ways as a sum of consecutive naturals, for example, 65010 + ... + 66870.

It is an arithmetic number, because the mean of its divisors is an integer number (4118744).

Almost surely, 2122714340 is an apocalyptic number.

122714340 is a gapful number since it is divisible by the number (10) 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 122714340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197699712).

122714340 is an abundant number, since it is smaller than the sum of its proper divisors (272685084).

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

122714340 is a wasteful number, since it uses less digits than its factorization.

122714340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 122714340 is about 11077.6504729117. The cubic root of 122714340 is about 496.9336872257.

The spelling of 122714340 in words is "one hundred twenty-two million, seven hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 157 210 314 420 471 628 785 942 1099 1570 1861 1884 2198 2355 3140 3297 3722 4396 4710 5495 5583 6594 7444 9305 9420 10990 11166 13027 13188 16485 18610 21980 22332 26054 27915 32970 37220 39081 52108 55830 65135 65940 78162 111660 130270 156324 195405 260540 292177 390810 584354 781620 876531 1168708 1460885 1753062 2045239 2921770 3506124 4090478 4382655 5843540 6135717 8180956 8765310 10226195 12271434 17530620 20452390 24542868 30678585 40904780 61357170 122714340