Search a number
-
+
68972430 = 23543127421
BaseRepresentation
bin1000001110001…
…10111110001110
311210210011101110
410013012332032
5120124104210
610502152450
71465153542
oct407067616
9153704343
1068972430
1135a2a00a
121b122726
131139bbb7
149235a22
1560c6420
hex41c6f8e

68972430 has 64 divisors (see below), whose sum is σ = 171122688. Its totient is φ = 17781120.

The previous prime is 68972429. The next prime is 68972437. The reversal of 68972430 is 3427986.

It is a super-2 number, since 2×689724302 = 9514392200209800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68972437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163620 + ... + 164040.

It is an arithmetic number, because the mean of its divisors is an integer number (2673792).

Almost surely, 268972430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68972430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85561344).

68972430 is an abundant number, since it is smaller than the sum of its proper divisors (102150258).

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

68972430 is a wasteful number, since it uses less digits than its factorization.

68972430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 68972430 is about 8304.9641781286. The cubic root of 68972430 is about 410.1019575900.

The spelling of 68972430 in words is "sixty-eight million, nine hundred seventy-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 127 129 215 254 258 381 421 430 635 645 762 842 1263 1270 1290 1905 2105 2526 3810 4210 5461 6315 10922 12630 16383 18103 27305 32766 36206 53467 54309 54610 81915 90515 106934 108618 160401 163830 181030 267335 271545 320802 534670 543090 802005 1604010 2299081 4598162 6897243 11495405 13794486 22990810 34486215 68972430