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122716140 = 22356133529
BaseRepresentation
bin1110101000001…
…11111111101100
322112220121220020
413110013333230
5222403404030
620102122140
73020033001
oct724077754
9275817806
10122716140
11632a74a8
1235120350
131c568301
14124258a8
15ab90510
hex7507fec

122716140 has 48 divisors (see below), whose sum is σ = 349248480. Its totient is φ = 32186880.

The previous prime is 122716129. The next prime is 122716141. The reversal of 122716140 is 41617221.

It is a self number, because there is not a number n which added to its sum of digits gives 122716140.

It is not an unprimeable number, because it can be changed into a prime (122716141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13105 + ... + 20424.

It is an arithmetic number, because the mean of its divisors is an integer number (7276010).

Almost surely, 2122716140 is an apocalyptic number.

122716140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122716140 is an abundant number, since it is smaller than the sum of its proper divisors (226532340).

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

122716140 is a wasteful number, since it uses less digits than its factorization.

122716140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33602 (or 33600 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 122716140 is about 11077.7317172786. The cubic root of 122716140 is about 496.9361169234.

The spelling of 122716140 in words is "one hundred twenty-two million, seven hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 33529 67058 100587 134116 167645 201174 335290 402348 502935 670580 1005870 2011740 2045269 4090538 6135807 8181076 10226345 12271614 20452690 24543228 30679035 40905380 61358070 122716140