Search a number
-
+
121824528 = 2437536841
BaseRepresentation
bin1110100001011…
…10010100010000
322111020022211120
413100232110100
5222141341103
620031042240
73006330360
oct720562420
9274208746
10121824528
1162848631
1234970380
131c315527
14122729a0
15aa66253
hex742e510

121824528 has 80 divisors (see below), whose sum is σ = 366512256. Its totient is φ = 34145280.

The previous prime is 121824497. The next prime is 121824541. The reversal of 121824528 is 825428121.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 14388 + ... + 21228.

Almost surely, 2121824528 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 121824528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183256128).

121824528 is an abundant number, since it is smaller than the sum of its proper divisors (244687728).

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

121824528 is a wasteful number, since it uses less digits than its factorization.

121824528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912 (or 6906 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 121824528 is about 11037.4149147343. The cubic root of 121824528 is about 495.7296697220.

The spelling of 121824528 in words is "one hundred twenty-one million, eight hundred twenty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 4452 5936 6841 8904 13682 17808 20523 27364 41046 47887 54728 82092 95774 109456 143661 164184 191548 287322 328368 362573 383096 574644 725146 766192 1087719 1149288 1450292 2175438 2298576 2538011 2900584 4350876 5076022 5801168 7614033 8701752 10152044 15228066 17403504 20304088 30456132 40608176 60912264 121824528