Search a number
-
+
153199024 = 24113143653
BaseRepresentation
bin10010010000110…
…10000110110000
3101200021022112221
421020122012300
5303204332044
623111330424
73540112246
oct1110320660
9350238487
10153199024
1179527770
1243380a14
132597c014
14164bc796
15d6b2484
hex921a1b0

153199024 has 80 divisors (see below), whose sum is σ = 342549504. Its totient is φ = 65721600.

The previous prime is 153199009. The next prime is 153199027. The reversal of 153199024 is 420991351.

It is not an unprimeable number, because it can be changed into a prime (153199027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234282 + ... + 234934.

Almost surely, 2153199024 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 153199024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171274752).

153199024 is an abundant number, since it is smaller than the sum of its proper divisors (189350480).

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

153199024 is a wasteful number, since it uses less digits than its factorization.

153199024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 153199024 is about 12377.3593306488. The cubic root of 153199024 is about 535.0799356497.

The spelling of 153199024 in words is "one hundred fifty-three million, one hundred ninety-nine thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 31 43 44 62 86 88 124 172 176 248 341 344 473 496 653 682 688 946 1306 1333 1364 1892 2612 2666 2728 3784 5224 5332 5456 7183 7568 10448 10664 14366 14663 20243 21328 28079 28732 29326 40486 56158 57464 58652 80972 112316 114928 117304 161944 222673 224632 234608 308869 323888 445346 449264 617738 870449 890692 1235476 1740898 1781384 2470952 3481796 3562768 4941904 6963592 9574939 13927184 19149878 38299756 76599512 153199024