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71975790 = 2345175227
BaseRepresentation
bin1000100101001…
…00001101101110
312000102202020000
410102210031232
5121411211130
611050405130
71532532645
oct422441556
9160382200
1071975790
11376a0527
12201307a6
1311bb0c33
1497b835c
1564bb260
hex44a436e

71975790 has 80 divisors (see below), whose sum is σ = 204958512. Its totient is φ = 18061056.

The previous prime is 71975789. The next prime is 71975803. The reversal of 71975790 is 9757917.

71975790 is a `hidden beast` number, since 71 + 9 + 7 + 579 + 0 = 666.

It is a super-2 number, since 2×719757902 = 10361028692248200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11157 + ... + 16383.

Almost surely, 271975790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71975790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102479256).

71975790 is an abundant number, since it is smaller than the sum of its proper divisors (132982722).

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

71975790 is a wasteful number, since it uses less digits than its factorization.

71975790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 138915, while the sum is 45.

The square root of 71975790 is about 8483.8546663648. The cubic root of 71975790 is about 415.9701308374.

The spelling of 71975790 in words is "seventy-one million, nine hundred seventy-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 5227 6885 10454 13770 15681 26135 31362 47043 52270 78405 88859 94086 141129 156810 177718 235215 266577 282258 423387 444295 470430 533154 705645 799731 846774 888590 1332885 1411290 1599462 2116935 2399193 2665770 3998655 4233870 4798386 7197579 7997310 11995965 14395158 23991930 35987895 71975790