Search a number
-
+
70266336 = 2537313373
BaseRepresentation
bin1000011000000…
…10110111100000
311220012220021220
410030002313200
5120442010321
610550015040
71512153060
oct414026740
9156186256
1070266336
1136733158
121b647480
1311732b1a
1494913a0
15627e9c6
hex4302de0

70266336 has 96 divisors (see below), whose sum is σ = 217663488. Its totient is φ = 19422720.

The previous prime is 70266331. The next prime is 70266347. The reversal of 70266336 is 63366207.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 70266297 and 70266306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70266331) 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, 19146 + ... + 22518.

It is an arithmetic number, because the mean of its divisors is an integer number (2267328).

Almost surely, 270266336 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 70266336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108831744).

70266336 is an abundant number, since it is smaller than the sum of its proper divisors (147397152).

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

70266336 is a wasteful number, since it uses less digits than its factorization.

70266336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 70266336 is about 8382.5017745301. The cubic root of 70266336 is about 412.6505573466.

The spelling of 70266336 in words is "seventy million, two hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3373 3472 5208 6746 6944 10119 10416 13492 20238 20832 23611 26984 40476 47222 53968 70833 80952 94444 104563 107936 141666 161904 188888 209126 283332 313689 323808 377776 418252 566664 627378 731941 755552 836504 1133328 1254756 1463882 1673008 2195823 2266656 2509512 2927764 3346016 4391646 5019024 5855528 8783292 10038048 11711056 17566584 23422112 35133168 70266336