Search a number
-
+
122153128 = 23195359257
BaseRepresentation
bin1110100011111…
…10100010101000
322111212000120221
413101332202220
5222232400003
620042055424
73012166366
oct721764250
9274760527
10122153128
1162a524a9
1234aaa574
131c3cbc76
141231a636
15aacd7bd
hex747e8a8

122153128 has 64 divisors (see below), whose sum is σ = 250776000. Its totient is φ = 55590912.

The previous prime is 122153107. The next prime is 122153131. The reversal of 122153128 is 821351221.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475176 + ... + 475432.

It is an arithmetic number, because the mean of its divisors is an integer number (3918375).

Almost surely, 2122153128 is an apocalyptic number.

It is an amenable number.

122153128 is an abundant number, since it is smaller than the sum of its proper divisors (128622872).

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

122153128 is a wasteful number, since it uses less digits than its factorization.

122153128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 122153128 is about 11052.2906223099. The cubic root of 122153128 is about 496.1749837857.

The spelling of 122153128 in words is "one hundred twenty-two million, one hundred fifty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 19 38 53 59 76 106 118 152 212 236 257 424 472 514 1007 1028 1121 2014 2056 2242 3127 4028 4484 4883 6254 8056 8968 9766 12508 13621 15163 19532 25016 27242 30326 39064 54484 59413 60652 108968 118826 121304 237652 258799 288097 475304 517598 576194 803639 1035196 1152388 1607278 2070392 2304776 3214556 6429112 15269141 30538282 61076564 122153128