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122897320 = 235713191777
BaseRepresentation
bin1110101001101…
…00001110101000
322120020211102121
413110310032220
5222430203240
620110041024
73021416140
oct724641650
9276224377
10122897320
1163410637
12351a9174
131c5cc910
1412471920
15abc904a
hex75343a8

122897320 has 128 divisors (see below), whose sum is σ = 358444800. Its totient is φ = 36827136.

The previous prime is 122897293. The next prime is 122897323. The reversal of 122897320 is 23798221.

It is not an unprimeable number, because it can be changed into a prime (122897323) by changing a digit.

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, 68272 + ... + 70048.

It is an arithmetic number, because the mean of its divisors is an integer number (2800350).

Almost surely, 2122897320 is an apocalyptic number.

122897320 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 122897320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179222400).

122897320 is an abundant number, since it is smaller than the sum of its proper divisors (235547480).

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

122897320 is a wasteful number, since it uses less digits than its factorization.

122897320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 122897320 is about 11085.9063679972. The cubic root of 122897320 is about 497.1805580441.

Subtracting from 122897320 its reverse (23798221), we obtain a palindrome (99099099).

The spelling of 122897320 in words is "one hundred twenty-two million, eight hundred ninety-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1777 1820 1976 2470 2660 3458 3554 3640 4940 5320 6916 7108 8645 8885 9880 12439 13832 14216 17290 17770 23101 24878 33763 34580 35540 46202 49756 62195 67526 69160 71080 92404 99512 115505 124390 135052 161707 168815 184808 231010 236341 248780 270104 323414 337630 438919 462020 472682 497560 646828 675260 808535 877838 924040 945364 1181705 1293656 1350520 1617070 1755676 1890728 2194595 2363410 3072433 3234140 3511352 4389190 4726820 6144866 6468280 8778380 9453640 12289732 15362165 17556760 24579464 30724330 61448660 122897320