Search a number
-
+
121552440 = 23351099293
BaseRepresentation
bin1110011111010…
…11111000111000
322110201111121020
413033223320320
5222104134230
620021142440
73004115202
oct717537070
9273644536
10121552440
1162682169
123485aa20
131c24b729
1412201772
15aa10810
hex73ebe38

121552440 has 64 divisors (see below), whose sum is σ = 368042400. Its totient is φ = 32113152.

The previous prime is 121552429. The next prime is 121552471. The reversal of 121552440 is 44255121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121552440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8434 + ... + 17726.

Almost surely, 2121552440 is an apocalyptic number.

121552440 is a gapful number since it is divisible by the number (10) 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 121552440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184021200).

121552440 is an abundant number, since it is smaller than the sum of its proper divisors (246489960).

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

121552440 is a wasteful number, since it uses less digits than its factorization.

121552440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9416 (or 9412 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 121552440 is about 11025.0823126179. The cubic root of 121552440 is about 495.3603334904.

The spelling of 121552440 in words is "one hundred twenty-one million, five hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 9293 13080 18586 27879 37172 46465 55758 74344 92930 111516 139395 185860 223032 278790 371720 557580 1012937 1115160 2025874 3038811 4051748 5064685 6077622 8103496 10129370 12155244 15194055 20258740 24310488 30388110 40517480 60776220 121552440