Search a number
-
+
122654136 = 23311795881
BaseRepresentation
bin1110100111110…
…00110110111000
322112210110211210
413103320312320
5222344413021
620100523120
73016354143
oct723706670
9275713753
10122654136
1163264960
12350b04a0
131c546017
141240b05a
15ab7be76
hex74f8db8

122654136 has 64 divisors (see below), whose sum is σ = 338803200. Its totient is φ = 36691200.

The previous prime is 122654123. The next prime is 122654141. The reversal of 122654136 is 631456221.

It is a congruent number.

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, 17916 + ... + 23796.

It is an arithmetic number, because the mean of its divisors is an integer number (5293800).

Almost surely, 2122654136 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 122654136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169401600).

122654136 is an abundant number, since it is smaller than the sum of its proper divisors (216149064).

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

122654136 is a wasteful number, since it uses less digits than its factorization.

122654136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5976 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 122654136 is about 11074.9327763197. The cubic root of 122654136 is about 496.8524082446.

The spelling of 122654136 in words is "one hundred twenty-two million, six hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2607 3476 5214 5881 6952 10428 11762 17643 20856 23524 35286 47048 64691 70572 129382 141144 194073 258764 388146 464599 517528 776292 929198 1393797 1552584 1858396 2787594 3716792 5110589 5575188 10221178 11150376 15331767 20442356 30663534 40884712 61327068 122654136