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71700672 = 2633710093
BaseRepresentation
bin1000100011000…
…01000011000000
311222220202211110
410101201003000
5121323410142
611040443320
71530305601
oct421410300
9158822743
1071700672
113752285a
1220019540
1311b15944
149745da8
15646499c
hex44610c0

71700672 has 56 divisors (see below), whose sum is σ = 194854576. Its totient is φ = 23251968.

The previous prime is 71700667. The next prime is 71700691. The reversal of 71700672 is 27600717.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2058 + ... + 12150.

It is an arithmetic number, because the mean of its divisors is an integer number (3479546).

Almost surely, 271700672 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 71700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97427288).

71700672 is an abundant number, since it is smaller than the sum of its proper divisors (123153904).

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

71700672 is a wasteful number, since it uses less digits than its factorization.

71700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145 (or 10135 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 71700672 is about 8467.6249326479. The cubic root of 71700672 is about 415.4394570622.

The spelling of 71700672 in words is "seventy-one million, seven hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 10093 20186 30279 40372 60558 80744 121116 161488 242232 322976 373441 484464 645952 746882 968928 1120323 1493764 1937856 2240646 2987528 4481292 5975056 8962584 11950112 17925168 23900224 35850336 71700672