Search a number
-
+
121419088 = 2477115269
BaseRepresentation
bin1110011110010…
…11010101010000
322110110201200021
413033023111100
5222040402323
620014233224
73003021340
oct717132520
9273421607
10121419088
11625a0a5a
12347b5814
131c202b1b
14121a8d20
15a9d605d
hex73cb550

121419088 has 40 divisors (see below), whose sum is σ = 272661120. Its totient is φ = 51300480.

The previous prime is 121419079. The next prime is 121419091. The reversal of 121419088 is 880914121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 15586.

It is an arithmetic number, because the mean of its divisors is an integer number (6816528).

Almost surely, 2121419088 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 121419088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136330560).

121419088 is an abundant number, since it is smaller than the sum of its proper divisors (151242032).

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

121419088 is a wasteful number, since it uses less digits than its factorization.

121419088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15355 (or 15349 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 121419088 is about 11019.0329884251. The cubic root of 121419088 is about 495.1791182539.

It can be divided in two parts, 1214 and 19088, that added together give a palindrome (20302).

The spelling of 121419088 in words is "one hundred twenty-one million, four hundred nineteen thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3976 7952 15269 30538 61076 106883 122152 213766 244304 427532 855064 1084099 1710128 2168198 4336396 7588693 8672792 15177386 17345584 30354772 60709544 121419088