Search a number
-
+
71831376 = 243229103167
BaseRepresentation
bin1000100100000…
…00111101010000
312000011102010100
410102000331100
5121342101001
611043332400
71531361631
oct422007520
9160142110
1071831376
1137601a81
1220081100
1311b60296
14977b888
15648d586
hex4480f50

71831376 has 120 divisors (see below), whose sum is σ = 211236480. Its totient is φ = 22756608.

The previous prime is 71831317. The next prime is 71831387. The reversal of 71831376 is 67313817.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71831376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430045 + ... + 430211.

It is an arithmetic number, because the mean of its divisors is an integer number (1760304).

Almost surely, 271831376 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 71831376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105618240).

71831376 is an abundant number, since it is smaller than the sum of its proper divisors (139405104).

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

71831376 is a wasteful number, since it uses less digits than its factorization.

71831376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 71831376 is about 8475.3392852440. The cubic root of 71831376 is about 415.6917403216.

The spelling of 71831376 in words is "seventy-one million, eight hundred thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 103 116 144 167 174 206 232 261 309 334 348 412 464 501 522 618 668 696 824 927 1002 1044 1236 1336 1392 1503 1648 1854 2004 2088 2472 2672 2987 3006 3708 4008 4176 4843 4944 5974 6012 7416 8016 8961 9686 11948 12024 14529 14832 17201 17922 19372 23896 24048 26883 29058 34402 35844 38744 43587 47792 51603 53766 58116 68804 71688 77488 87174 103206 107532 116232 137608 143376 154809 174348 206412 215064 232464 275216 309618 348696 412824 430128 498829 619236 697392 825648 997658 1238472 1496487 1995316 2476944 2992974 3990632 4489461 5985948 7981264 8978922 11971896 17957844 23943792 35915688 71831376