Search a number
-
+
122987076 = 22319678397
BaseRepresentation
bin1110101010010…
…10001001000100
322120102101112220
413111022021010
5222441041301
620112012340
73022241622
oct725121104
9276371486
10122987076
1163472013
12352310b0
131c631724
1412496512
15abe5936
hex754a244

122987076 has 96 divisors (see below), whose sum is σ = 313474560. Its totient is φ = 37407744.

The previous prime is 122987071. The next prime is 122987077. The reversal of 122987076 is 670789221.

It is not an unprimeable number, because it can be changed into a prime (122987071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1267860 + ... + 1267956.

It is an arithmetic number, because the mean of its divisors is an integer number (3265360).

Almost surely, 2122987076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122987076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156737280).

122987076 is an abundant number, since it is smaller than the sum of its proper divisors (190487484).

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

122987076 is a wasteful number, since it uses less digits than its factorization.

122987076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 122987076 is about 11089.9538321852. The cubic root of 122987076 is about 497.3015644226.

The spelling of 122987076 in words is "one hundred twenty-two million, nine hundred eighty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 83 97 114 134 166 194 201 228 249 268 291 332 388 402 498 582 804 996 1164 1273 1577 1843 2546 3154 3686 3819 4731 5092 5529 5561 6308 6499 7372 7638 8051 9462 11058 11122 12998 15276 16102 16683 18924 19497 22116 22244 24153 25996 32204 33366 38994 48306 66732 77988 96612 105659 123481 152969 211318 246962 305938 316977 370443 422636 458907 493924 539417 611876 633954 740886 917814 1078834 1267908 1481772 1618251 1835628 2157668 3236502 6473004 10248923 20497846 30746769 40995692 61493538 122987076