Search a number
-
+
122660664 = 23371275749
BaseRepresentation
bin1110100111110…
…10011100111000
322112210210210120
413103322130320
5222400120124
620101013240
73016412160
oct723723470
9275723716
10122660664
1163269855
12350b4220
131c548c99
141240d5a0
15ab7dd79
hex74fa738

122660664 has 64 divisors (see below), whose sum is σ = 353280000. Its totient is φ = 34763904.

The previous prime is 122660651. The next prime is 122660669. The reversal of 122660664 is 466066221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122660669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18462 + ... + 24210.

It is an arithmetic number, because the mean of its divisors is an integer number (5520000).

Almost surely, 2122660664 is an apocalyptic number.

122660664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122660664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176640000).

122660664 is an abundant number, since it is smaller than the sum of its proper divisors (230619336).

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

122660664 is a wasteful number, since it uses less digits than its factorization.

122660664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 122660664 is about 11075.2274920202. The cubic root of 122660664 is about 496.8612227183.

The spelling of 122660664 in words is "one hundred twenty-two million, six hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1524 1778 2667 3048 3556 5334 5749 7112 10668 11498 17247 21336 22996 34494 40243 45992 68988 80486 120729 137976 160972 241458 321944 482916 730123 965832 1460246 2190369 2920492 4380738 5110861 5840984 8761476 10221722 15332583 17522952 20443444 30665166 40886888 61330332 122660664