Search a number
-
+
122602956 = 22374197367
BaseRepresentation
bin1110100111011…
…00010111001100
322112200212122020
413103230113030
5222341243311
620055450140
73016052010
oct723542714
9275625566
10122602956
116322a463
1235086950
131c528938
14123d6540
15ab6bc06
hex74ec5cc

122602956 has 96 divisors (see below), whose sum is σ = 339290112. Its totient is φ = 33730560.

The previous prime is 122602951. The next prime is 122602993. The reversal of 122602956 is 659206221.

It is not an unprimeable number, because it can be changed into a prime (122602951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333885 + ... + 334251.

It is an arithmetic number, because the mean of its divisors is an integer number (3534272).

Almost surely, 2122602956 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 122602956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169645056).

122602956 is an abundant number, since it is smaller than the sum of its proper divisors (216687156).

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

122602956 is a wasteful number, since it uses less digits than its factorization.

122602956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 122602956 is about 11072.6219117244. The cubic root of 122602956 is about 496.7832912820.

The spelling of 122602956 in words is "one hundred twenty-two million, six hundred two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 97 123 164 194 246 287 291 367 388 492 574 582 679 734 861 1101 1148 1164 1358 1468 1722 2037 2202 2569 2716 3444 3977 4074 4404 5138 7707 7954 8148 10276 11931 15047 15414 15908 23862 27839 30094 30828 35599 45141 47724 55678 60188 71198 83517 90282 105329 106797 111356 142396 167034 180564 210658 213594 249193 315987 334068 421316 427188 498386 631974 747579 996772 1263948 1459559 1495158 2919118 2990316 4378677 5838236 8757354 10216913 17514708 20433826 30650739 40867652 61301478 122602956