Search a number
-
+
133302024 = 233719401
BaseRepresentation
bin1111111001000…
…00011100001000
3100021211110000000
413330200130020
5233111131044
621121043000
73206022432
oct774403410
9307743000
10133302024
1169277869
1238786460
132180374b
14139bd652
15ba81d69
hex7f20708

133302024 has 128 divisors (see below), whose sum is σ = 395568000. Its totient is φ = 41990400.

The previous prime is 133302007. The next prime is 133302047. The reversal of 133302024 is 420203331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133301988 and 133302006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332224 + ... + 332624.

It is an arithmetic number, because the mean of its divisors is an integer number (3090375).

Almost surely, 2133302024 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 133302024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197784000).

133302024 is an abundant number, since it is smaller than the sum of its proper divisors (262265976).

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

133302024 is an equidigital number, since it uses as much as digits as its factorization.

133302024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133302024 is about 11545.6495702927. The cubic root of 133302024 is about 510.8329640696.

Adding to 133302024 its reverse (420203331), we get a palindrome (553505355).

The spelling of 133302024 in words is "one hundred thirty-three million, three hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 401 456 486 513 648 684 729 802 972 1026 1203 1368 1458 1539 1604 1944 2052 2187 2406 2916 3078 3208 3609 4104 4374 4617 4812 5832 6156 7218 7619 8748 9234 9624 10827 12312 13851 14436 15238 17496 18468 21654 22857 27702 28872 30476 32481 36936 41553 43308 45714 55404 60952 64962 68571 83106 86616 91428 97443 110808 129924 137142 166212 182856 194886 205713 259848 274284 292329 332424 389772 411426 548568 584658 617139 779544 822852 876987 1169316 1234278 1645704 1753974 1851417 2338632 2468556 3507948 3702834 4937112 5554251 7015896 7405668 11108502 14811336 16662753 22217004 33325506 44434008 66651012 133302024