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71954260 = 22571932663
BaseRepresentation
bin1000100100111…
…10111101010100
312000101122200121
410102132331110
5121410014020
611050121324
71532413120
oct422367524
9160348617
1071954260
1137686334
1220120244
1311ba41b1
1497b0580
1564b4baa
hex449ef54

71954260 has 48 divisors (see below), whose sum is σ = 173650176. Its totient is φ = 24532992.

The previous prime is 71954257. The next prime is 71954261. The reversal of 71954260 is 6245917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71954261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25689 + ... + 28351.

It is an arithmetic number, because the mean of its divisors is an integer number (3617712).

Almost surely, 271954260 is an apocalyptic number.

71954260 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 71954260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86825088).

71954260 is an abundant number, since it is smaller than the sum of its proper divisors (101695916).

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

71954260 is a wasteful number, since it uses less digits than its factorization.

71954260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 71954260 is about 8482.5856906960. The cubic root of 71954260 is about 415.9286505469.

The spelling of 71954260 in words is "seventy-one million, nine hundred fifty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 772 965 1351 1930 2663 2702 3860 5326 5404 6755 10652 13315 13510 18641 26630 27020 37282 53260 74564 93205 186410 372820 513959 1027918 2055836 2569795 3597713 5139590 7195426 10279180 14390852 17988565 35977130 71954260