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20241024432 = 24317311634909
BaseRepresentation
bin10010110110011101…
…011000010110110000
31221020122001120121120
4102312131120112300
5312423200240212
613144255222240
71314406604016
oct226635302660
957218046546
1020241024432
118647592272
123b0a817980
131ba75c6b45
14da03068b6
157d6eca88c
hex4b67585b0

20241024432 has 160 divisors (see below), whose sum is σ = 57513461760. Its totient is φ = 6106337280.

The previous prime is 20241024379. The next prime is 20241024439. The reversal of 20241024432 is 23442014202.

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

It is not an unprimeable number, because it can be changed into a prime (20241024439) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4120794 + ... + 4125702.

It is an arithmetic number, because the mean of its divisors is an integer number (359459136).

Almost surely, 220241024432 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 20241024432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28756730880).

20241024432 is an abundant number, since it is smaller than the sum of its proper divisors (37272437328).

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

20241024432 is a wasteful number, since it uses less digits than its factorization.

20241024432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20241024432 its reverse (23442014202), we get a palindrome (43683038634).

The spelling of 20241024432 in words is "twenty billion, two hundred forty-one million, twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 163 186 204 248 272 326 372 408 489 496 527 652 744 816 978 1054 1304 1488 1581 1956 2108 2608 2771 3162 3912 4216 4909 5053 5542 6324 7824 8313 8432 9818 10106 11084 12648 14727 15159 16626 19636 20212 22168 25296 29454 30318 33252 39272 40424 44336 58908 60636 66504 78544 80848 83453 85901 117816 121272 133008 152179 166906 171802 235632 242544 250359 257703 304358 333812 343604 456537 500718 515406 608716 667624 687208 800167 913074 1001436 1030812 1217432 1335248 1374416 1600334 1826148 2002872 2061624 2400501 2434864 2587043 3200668 3652296 4005744 4123248 4801002 5174086 6401336 7304592 7761129 9602004 10348172 12802672 13602839 15522258 19204008 20696344 24805177 27205678 31044516 38408016 40808517 41392688 49610354 54411356 62089032 74415531 81617034 99220708 108822712 124178064 148831062 163234068 198441416 217645424 297662124 326468136 396882832 421688009 595324248 652936272 843376018 1190648496 1265064027 1686752036 2530128054 3373504072 5060256108 6747008144 10120512216 20241024432