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122666320 = 2457317691
BaseRepresentation
bin1110100111110…
…11110101010000
322112211002120001
413103323311100
5222400310240
620101055344
73016434520
oct723736520
9275732501
10122666320
1163273027
12350b7554
131c54b72a
1412411680
15ab8089a
hex74fbd50

122666320 has 80 divisors (see below), whose sum is σ = 327443328. Its totient is φ = 41863680.

The previous prime is 122666309. The next prime is 122666329. The reversal of 122666320 is 23666221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122666329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177175 + ... + 177865.

Almost surely, 2122666320 is an apocalyptic number.

122666320 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 122666320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163721664).

122666320 is an abundant number, since it is smaller than the sum of its proper divisors (204777008).

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

122666320 is a wasteful number, since it uses less digits than its factorization.

122666320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 122666320 is about 11075.4828337188. The cubic root of 122666320 is about 496.8688595156.

Subtracting from 122666320 its reverse (23666221), we obtain a palindrome (99000099).

The spelling of 122666320 in words is "one hundred twenty-two million, six hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 317 560 634 691 1268 1382 1585 2219 2536 2764 3170 3455 4438 4837 5072 5528 6340 6910 8876 9674 11056 11095 12680 13820 17752 19348 22190 24185 25360 27640 35504 38696 44380 48370 55280 77392 88760 96740 177520 193480 219047 386960 438094 876188 1095235 1533329 1752376 2190470 3066658 3504752 4380940 6133316 7666645 8761880 12266632 15333290 17523760 24533264 30666580 61333160 122666320