Search a number
-
+
121618656 = 2532422287
BaseRepresentation
bin1110011111111…
…00000011100000
322110211212102200
413033330003200
5222113244111
620022413200
73004512225
oct717740340
9273755380
10121618656
1162717995
1234891200
131c272903
141221b94c
15aa25256
hex73fc0e0

121618656 has 36 divisors (see below), whose sum is σ = 345853872. Its totient is φ = 40539456.

The previous prime is 121618649. The next prime is 121618681. The reversal of 121618656 is 656816121.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 121618656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210856 + ... + 211431.

It is an arithmetic number, because the mean of its divisors is an integer number (9607052).

Almost surely, 2121618656 is an apocalyptic number.

121618656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121618656 is an abundant number, since it is smaller than the sum of its proper divisors (224235216).

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

121618656 is a wasteful number, since it uses less digits than its factorization.

121618656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422303 (or 422292 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 121618656 is about 11028.0848745374. The cubic root of 121618656 is about 495.4502667613.

The spelling of 121618656 in words is "one hundred twenty-one million, six hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 422287 844574 1266861 1689148 2533722 3378296 3800583 5067444 6756592 7601166 10134888 13513184 15202332 20269776 30404664 40539552 60809328 121618656