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71687052 = 2233679907
BaseRepresentation
bin1000100010111…
…01101110001100
311222220002011000
410101131232030
5121322441202
611040300300
71530221103
oct421355614
9158802130
1071687052
11375135a8
1220011690
1311b0c698
14974103a
15646091c
hex445db8c

71687052 has 48 divisors (see below), whose sum is σ = 188648320. Its totient is φ = 23536656.

The previous prime is 71687027. The next prime is 71687053. The reversal of 71687052 is 25078617.

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

It is a junction number, because it is equal to n+sod(n) for n = 71686998 and 71687016.

It is not an unprimeable number, because it can be changed into a prime (71687053) 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, 2283 + ... + 12189.

Almost surely, 271687052 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 71687052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94324160).

71687052 is an abundant number, since it is smaller than the sum of its proper divisors (116961268).

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

71687052 is a wasteful number, since it uses less digits than its factorization.

71687052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 71687052 is about 8466.8206547676. The cubic root of 71687052 is about 415.4131502715.

The spelling of 71687052 in words is "seventy-one million, six hundred eighty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 2412 3618 7236 9907 19814 29721 39628 59442 89163 118884 178326 267489 356652 534978 663769 1069956 1327538 1991307 2655076 3982614 5973921 7965228 11947842 17921763 23895684 35843526 71687052