Search a number
-
+
96069072 = 24311533433
BaseRepresentation
bin1011011100111…
…10010111010000
320200202210222210
411232132113100
5144043202242
613311032120
72244400521
oct556362720
9220683883
1096069072
114a257130
122820b640
1316b98508
14ca8a848
158679d9c
hex5b9e5d0

96069072 has 80 divisors (see below), whose sum is σ = 275928768. Its totient is φ = 28554240.

The previous prime is 96069059. The next prime is 96069101. The reversal of 96069072 is 27096069.

It is a self number, because there is not a number n which added to its sum of digits gives 96069072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26268 + ... + 29700.

Almost surely, 296069072 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 96069072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137964384).

96069072 is an abundant number, since it is smaller than the sum of its proper divisors (179859696).

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

96069072 is a wasteful number, since it uses less digits than its factorization.

96069072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 96069072 is about 9801.4831530743. The cubic root of 96069072 is about 457.9954869473.

The spelling of 96069072 in words is "ninety-six million, sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3433 3498 4664 6866 6996 9328 10299 13732 13992 20598 27464 27984 37763 41196 54928 75526 82392 113289 151052 164784 181949 226578 302104 363898 453156 545847 604208 727796 906312 1091694 1455592 1812624 2001439 2183388 2911184 4002878 4366776 6004317 8005756 8733552 12008634 16011512 24017268 32023024 48034536 96069072