Search a number
-
+
122648656 = 24132920333
BaseRepresentation
bin1110100111101…
…11100001010000
322112210012022211
413103313201100
5222344224111
620100441504
73016332154
oct723674120
9275705284
10122648656
1163260829
12350a9294
131c543690
1412409064
15ab7a521
hex74f7850

122648656 has 40 divisors (see below), whose sum is σ = 264748680. Its totient is φ = 54652416.

The previous prime is 122648651. The next prime is 122648663. The reversal of 122648656 is 656846221.

It can be written as a sum of positive squares in 4 ways, for example, as 29333056 + 93315600 = 5416^2 + 9660^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122648651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4135 + ... + 16198.

It is an arithmetic number, because the mean of its divisors is an integer number (6618717).

Almost surely, 2122648656 is an apocalyptic number.

122648656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122648656 is an abundant number, since it is smaller than the sum of its proper divisors (142100024).

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

122648656 is a wasteful number, since it uses less digits than its factorization.

122648656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20383 (or 20377 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 122648656 is about 11074.6853679913. The cubic root of 122648656 is about 496.8450085981.

The spelling of 122648656 in words is "one hundred twenty-two million, six hundred forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 20333 40666 81332 162664 264329 325328 528658 589657 1057316 1179314 2114632 2358628 4229264 4717256 7665541 9434512 15331082 30662164 61324328 122648656