Search a number
-
+
121969936 = 241122512
BaseRepresentation
bin1110100010100…
…01110100010000
322111111201022001
413101101310100
5222211014221
620034123344
73010504324
oct721216420
9274451261
10121969936
1162937900
1234a20554
131c36677a
14122ad984
15aa94391
hex7451d10

121969936 has 45 divisors (see below), whose sum is σ = 260792119. Its totient is φ = 55220000.

The previous prime is 121969901. The next prime is 121969963. The reversal of 121969936 is 639969121.

The square root of 121969936 is 11044.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 485811 + ... + 486061.

Almost surely, 2121969936 is an apocalyptic number.

121969936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121969936 is the 11044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121969936

121969936 is an abundant number, since it is smaller than the sum of its proper divisors (138822183).

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

121969936 is an equidigital number, since it uses as much as digits as its factorization.

121969936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 264 counting only the distinct ones).

The product of its digits is 157464, while the sum is 46.

The cubic root of 121969936 is about 495.9268232315.

The spelling of 121969936 in words is "one hundred twenty-one million, nine hundred sixty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 251 484 502 968 1004 1936 2008 2761 4016 5522 11044 22088 30371 44176 60742 63001 121484 126002 242968 252004 485936 504008 693011 1008016 1386022 2772044 5544088 7623121 11088176 15246242 30492484 60984968 121969936