Search a number
-
+
133070724 = 223231434759
BaseRepresentation
bin1111110111001…
…11111110000100
3100021101200201100
413323213332010
5233031230344
621112100100
73204040203
oct773477604
9307350640
10133070724
116912a006
1238694630
1321752397
141395d23a
15ba38569
hex7ee7f84

133070724 has 144 divisors (see below), whose sum is σ = 369008640. Its totient is φ = 40340160.

The previous prime is 133070723. The next prime is 133070731. The reversal of 133070724 is 427070331.

133070724 = T91 + T92 + ... + T927.

It is not an unprimeable number, because it can be changed into a prime (133070723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2255407 + ... + 2255465.

It is an arithmetic number, because the mean of its divisors is an integer number (2562560).

Almost surely, 2133070724 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 133070724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184504320).

133070724 is an abundant number, since it is smaller than the sum of its proper divisors (235937916).

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

133070724 is a wasteful number, since it uses less digits than its factorization.

133070724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 133070724 is about 11535.6284614233. The cubic root of 133070724 is about 510.5373344746.

The spelling of 133070724 in words is "one hundred thirty-three million, seventy thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 47 59 62 86 93 94 118 124 129 141 172 177 186 188 236 258 279 282 354 372 387 423 516 531 558 564 708 774 846 1062 1116 1333 1457 1548 1692 1829 2021 2124 2537 2666 2773 2914 3658 3999 4042 4371 5074 5332 5487 5546 5828 6063 7316 7611 7998 8084 8319 8742 10148 10974 11092 11997 12126 13113 15222 15996 16461 16638 17484 18189 21948 22833 23994 24252 24957 26226 30444 32922 33276 36378 45666 47988 49914 52452 62651 65844 72756 78647 85963 91332 99828 119239 125302 157294 171926 187953 235941 238478 250604 257889 314588 343852 357717 375906 471882 476956 515778 563859 707823 715434 751812 773667 943764 1031556 1073151 1127718 1415646 1430868 1547334 2146302 2255436 2831292 3094668 3696409 4292604 7392818 11089227 14785636 22178454 33267681 44356908 66535362 133070724