Search a number
-
+
67030832 = 24112329571
BaseRepresentation
bin1111111110110…
…0111100110000
311200010112000102
43333230330300
5114124441312
610352411532
71442516111
oct377547460
9150115012
1067030832
1134923290
121a546ba8
1310b6c21b
148c8c208
155d40ec2
hex3fecf30

67030832 has 80 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 28089600.

The previous prime is 67030823. The next prime is 67030853. The reversal of 67030832 is 23803076.

It is a super-2 number, since 2×670308322 = 8986264877224448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a pancake number, because a pancake can be divided into 67030832 parts by 11578 straight cuts.

It is a junction number, because it is equal to n+sod(n) for n = 67030795 and 67030804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117107 + ... + 117677.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 267030832 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 67030832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

67030832 is an abundant number, since it is smaller than the sum of its proper divisors (86173648).

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

67030832 is a wasteful number, since it uses less digits than its factorization.

67030832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 67030832 is about 8187.2359194053. The cubic root of 67030832 is about 406.2171018093.

The spelling of 67030832 in words is "sixty-seven million, thirty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 29 44 46 58 88 92 116 176 184 232 253 319 368 464 506 571 638 667 1012 1142 1276 1334 2024 2284 2552 2668 4048 4568 5104 5336 6281 7337 9136 10672 12562 13133 14674 16559 25124 26266 29348 33118 50248 52532 58696 66236 100496 105064 117392 132472 144463 182149 210128 264944 288926 364298 380857 577852 728596 761714 1155704 1457192 1523428 2311408 2914384 3046856 4189427 6093712 8378854 16757708 33515416 67030832