Search a number
-
+
71691096 = 23331167577
BaseRepresentation
bin1000100010111…
…10101101011000
311222220021200210
410101132231120
5121323103341
611040331120
71530235641
oct421365530
9158807623
1071691096
1137516644
1220013aa0
1311b11489
1497426c8
156461c16
hex445eb58

71691096 has 64 divisors (see below), whose sum is σ = 186439680. Its totient is φ = 22947840.

The previous prime is 71691079. The next prime is 71691097. The reversal of 71691096 is 69019617.

It is a super-2 number, since 2×716910962 = 10279226491362432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71691097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123960 + ... + 124536.

It is an arithmetic number, because the mean of its divisors is an integer number (2913120).

Almost surely, 271691096 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 71691096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93219840).

71691096 is an abundant number, since it is smaller than the sum of its proper divisors (114748584).

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

71691096 is a wasteful number, since it uses less digits than its factorization.

71691096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 71691096 is about 8467.0594659539. The cubic root of 71691096 is about 415.4209615342.

The spelling of 71691096 in words is "seventy-one million, six hundred ninety-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 167 186 248 334 372 501 577 668 744 1002 1154 1336 1731 2004 2308 3462 4008 4616 5177 6924 10354 13848 15531 17887 20708 31062 35774 41416 53661 62124 71548 96359 107322 124248 143096 192718 214644 289077 385436 429288 578154 770872 1156308 2312616 2987129 5974258 8961387 11948516 17922774 23897032 35845548 71691096