Search a number
-
+
71020476 = 22341092011
BaseRepresentation
bin1000011101110…
…10111110111100
311221122012210000
410032322332330
5121140123401
611014114300
71521443532
oct416727674
9157565700
1071020476
11370a880a
121b94b990
1311938167
14960a152
15637d186
hex43bafbc

71020476 has 60 divisors (see below), whose sum is σ = 187458040. Its totient is φ = 23444640.

The previous prime is 71020463. The next prime is 71020489. The reversal of 71020476 is 67402017.

It is an interprime number because it is at equal distance from previous prime (71020463) and next prime (71020489).

It is a super-2 number, since 2×710204762 = 10087816022533152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34311 + ... + 36321.

Almost surely, 271020476 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 71020476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93729020).

71020476 is an abundant number, since it is smaller than the sum of its proper divisors (116437564).

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

71020476 is a wasteful number, since it uses less digits than its factorization.

71020476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 71020476 is about 8427.3647126489. The cubic root of 71020476 is about 414.1215773999.

The spelling of 71020476 in words is "seventy-one million, twenty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1962 2011 2943 3924 4022 5886 6033 8044 8829 11772 12066 17658 18099 24132 35316 36198 54297 72396 108594 162891 217188 219199 325782 438398 651564 657597 876796 1315194 1972791 2630388 3945582 5918373 7891164 11836746 17755119 23673492 35510238 71020476