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71855420 = 22571323037
BaseRepresentation
bin1000100100001…
…10110100111100
312000012122002212
410102012310330
5121343333140
611044035552
71531522010
oct422066474
9160178085
1071855420
113761904a
1220092bb8
1311b6b200
149786540
156495765
hex4486d3c

71855420 has 72 divisors (see below), whose sum is σ = 186800544. Its totient is φ = 22733568.

The previous prime is 71855393. The next prime is 71855429. The reversal of 71855420 is 2455817.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71855429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22142 + ... + 25178.

It is an arithmetic number, because the mean of its divisors is an integer number (2594452).

Almost surely, 271855420 is an apocalyptic number.

71855420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71855420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93400272).

71855420 is an abundant number, since it is smaller than the sum of its proper divisors (114945124).

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

71855420 is a wasteful number, since it uses less digits than its factorization.

71855420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 71855420 is about 8476.7576348507. The cubic root of 71855420 is about 415.7381164216.

The spelling of 71855420 in words is "seventy-one million, eight hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 2366 3037 3380 4732 5915 6074 11830 12148 15185 21259 23660 30370 39481 42518 60740 78962 85036 106295 157924 197405 212590 276367 394810 425180 513253 552734 789620 1026506 1105468 1381835 2053012 2566265 2763670 3592771 5132530 5527340 7185542 10265060 14371084 17963855 35927710 71855420