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71920926 = 2337311353
BaseRepresentation
bin1000100100101…
…10110100011110
312000022221222000
410102112310132
5121402432201
611045303130
71532214000
oct422266436
9160287860
1071920926
1137663290
1220104aa6
1311b91c7c
1497a2370
1564a9d86
hex4496d1e

71920926 has 128 divisors (see below), whose sum is σ = 203904000. Its totient is φ = 18627840.

The previous prime is 71920921. The next prime is 71920939. The reversal of 71920926 is 62902917.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71920921) 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 63 ways as a sum of consecutive naturals, for example, 203566 + ... + 203918.

It is an arithmetic number, because the mean of its divisors is an integer number (1593000).

Almost surely, 271920926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71920926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101952000).

71920926 is an abundant number, since it is smaller than the sum of its proper divisors (131983074).

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

71920926 is a wasteful number, since it uses less digits than its factorization.

71920926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 71920926 is about 8480.6206140824. The cubic root of 71920926 is about 415.8644120191.

Subtracting from 71920926 its reverse (62902917), we obtain a square (9018009 = 30032).

The spelling of 71920926 in words is "seventy-one million, nine hundred twenty thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 343 353 378 441 462 539 594 686 693 706 882 1029 1059 1078 1323 1386 1617 2058 2079 2118 2471 2646 3087 3177 3234 3773 3883 4158 4851 4942 6174 6354 7413 7546 7766 9261 9531 9702 11319 11649 14553 14826 17297 18522 19062 22239 22638 23298 27181 29106 33957 34594 34947 44478 51891 54362 66717 67914 69894 81543 101871 103782 104841 121079 133434 155673 163086 190267 203742 209682 242158 244629 311346 363237 380534 467019 489258 570801 726474 733887 934038 1089711 1141602 1331869 1467774 1712403 2179422 2663738 3269133 3424806 3995607 5137209 6538266 7991214 10274418 11986821 23973642 35960463 71920926