Search a number
-
+
69965632 = 26112329149
BaseRepresentation
bin1000010101110…
…01011101000000
311212122121210201
410022321131000
5120402400012
610535334544
71506461302
oct412713500
9155577721
1069965632
1136548240
121b521454
1311658ca9
149413972
156220857
hex42b9740

69965632 has 112 divisors (see below), whose sum is σ = 164592000. Its totient is φ = 29173760.

The previous prime is 69965617. The next prime is 69965633. The reversal of 69965632 is 23656996.

It is a super-2 number, since 2×699656322 = 9790379322318848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69965633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469494 + ... + 469642.

Almost surely, 269965632 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 69965632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82296000).

69965632 is an abundant number, since it is smaller than the sum of its proper divisors (94626368).

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

69965632 is a wasteful number, since it uses less digits than its factorization.

69965632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 524880, while the sum is 46.

The square root of 69965632 is about 8364.5461323374. The cubic root of 69965632 is about 412.0610711618.

The spelling of 69965632 in words is "sixty-nine million, nine hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 29 32 44 46 58 64 88 92 116 149 176 184 232 253 298 319 352 368 464 506 596 638 667 704 736 928 1012 1192 1276 1334 1472 1639 1856 2024 2384 2552 2668 3278 3427 4048 4321 4768 5104 5336 6556 6854 7337 8096 8642 9536 10208 10672 13112 13708 14674 16192 17284 20416 21344 26224 27416 29348 34568 37697 42688 47531 52448 54832 58696 69136 75394 95062 99383 104896 109664 117392 138272 150788 190124 198766 219328 234784 276544 301576 380248 397532 469568 603152 760496 795064 1093213 1206304 1520992 1590128 2186426 2412608 3041984 3180256 4372852 6360512 8745704 17491408 34982816 69965632