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71392920 = 23352325867
BaseRepresentation
bin1000100000101…
…01111010011000
311222100010200020
410100111322120
5121234033140
611030110440
71524554424
oct420257230
9158303606
1071392920
1137332615
121baab420
1311a38841
1496a5b84
1564036d0
hex4415e98

71392920 has 64 divisors (see below), whose sum is σ = 223499520. Its totient is φ = 18209664.

The previous prime is 71392901. The next prime is 71392921. The reversal of 71392920 is 2929317.

It is a super-2 number, since 2×713929202 = 10193898052252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71392921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10174 + ... + 15693.

It is an arithmetic number, because the mean of its divisors is an integer number (3492180).

Almost surely, 271392920 is an apocalyptic number.

It is an amenable number.

71392920 is an abundant number, since it is smaller than the sum of its proper divisors (152106600).

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

71392920 is a wasteful number, since it uses less digits than its factorization.

71392920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25904 (or 25900 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 71392920 is about 8449.4331170795. The cubic root of 71392920 is about 414.8442246919.

The spelling of 71392920 in words is "seventy-one million, three hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 25867 51734 77601 103468 129335 155202 206936 258670 310404 388005 517340 594941 620808 776010 1034680 1189882 1552020 1784823 2379764 2974705 3104040 3569646 4759528 5949410 7139292 8924115 11898820 14278584 17848230 23797640 35696460 71392920