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71924380 = 22511437603
BaseRepresentation
bin1000100100101…
…11101010011100
312000100010200221
410102113222130
5121403040010
611045331124
71532230033
oct422275234
9160303627
1071924380
1137665940
1220106aa4
1311b93708
1497a371a
1564aadda
hex4497a9c

71924380 has 48 divisors (see below), whose sum is σ = 168626304. Its totient is φ = 25542720.

The previous prime is 71924357. The next prime is 71924383. The reversal of 71924380 is 8342917.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71924383) 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, 5659 + ... + 13261.

It is an arithmetic number, because the mean of its divisors is an integer number (3513048).

Almost surely, 271924380 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 71924380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84313152).

71924380 is an abundant number, since it is smaller than the sum of its proper divisors (96701924).

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

71924380 is a wasteful number, since it uses less digits than its factorization.

71924380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 71924380 is about 8480.8242523943. The cubic root of 71924380 is about 415.8710692039.

The spelling of 71924380 in words is "seventy-one million, nine hundred twenty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 7603 9460 15206 30412 38015 76030 83633 152060 167266 326929 334532 418165 653858 836330 1307716 1634645 1672660 3269290 3596219 6538580 7192438 14384876 17981095 35962190 71924380