Search a number
-
+
121724328 = 233111932389
BaseRepresentation
bin1110100000101…
…01110110101000
322111001020101110
413100111312220
5222130134303
620024550320
73005432265
oct720256650
9274036343
10121724328
116278a320
12349223a0
131c2aba3b
141224826c
15aa46703
hex7415da8

121724328 has 64 divisors (see below), whose sum is σ = 333835200. Its totient is φ = 36679680.

The previous prime is 121724311. The next prime is 121724329. The reversal of 121724328 is 823427121.

It is a junction number, because it is equal to n+sod(n) for n = 121724295 and 121724304.

It is not an unprimeable number, because it can be changed into a prime (121724329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49758 + ... + 52146.

It is an arithmetic number, because the mean of its divisors is an integer number (5216175).

Almost surely, 2121724328 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 121724328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166917600).

121724328 is an abundant number, since it is smaller than the sum of its proper divisors (212110872).

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

121724328 is a wasteful number, since it uses less digits than its factorization.

121724328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2598 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 121724328 is about 11032.8748746644. The cubic root of 121724328 is about 495.5937208063.

The spelling of 121724328 in words is "one hundred twenty-one million, seven hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 193 264 386 579 772 1158 1544 2123 2316 2389 4246 4632 4778 6369 7167 8492 9556 12738 14334 16984 19112 25476 26279 28668 50952 52558 57336 78837 105116 157674 210232 315348 461077 630696 922154 1383231 1844308 2766462 3688616 5071847 5532924 10143694 11065848 15215541 20287388 30431082 40574776 60862164 121724328