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71949060 = 22345231931
BaseRepresentation
bin1000100100111…
…01101100000100
312000101101120000
410102131230010
5121404332220
611050041300
71532362011
oct422355404
9160341500
1071949060
1137682437
1220119230
1311ba1a11
1497ac708
1564b3390
hex449db04

71949060 has 120 divisors (see below), whose sum is σ = 235642176. Its totient is φ = 18342720.

The previous prime is 71949023. The next prime is 71949061. The reversal of 71949060 is 6094917.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71949061) 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 39 ways as a sum of consecutive naturals, for example, 36295 + ... + 38225.

Almost surely, 271949060 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 71949060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117821088).

71949060 is an abundant number, since it is smaller than the sum of its proper divisors (163693116).

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

71949060 is a wasteful number, since it uses less digits than its factorization.

71949060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1964 counting only the distinct ones).

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

The square root of 71949060 is about 8482.2791748445. The cubic root of 71949060 is about 415.9186308432.

The spelling of 71949060 in words is "seventy-one million, nine hundred forty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 1931 2070 2484 3105 3726 3862 4140 5793 6210 7452 7724 9315 9655 11586 12420 17379 18630 19310 23172 28965 34758 37260 38620 44413 52137 57930 69516 86895 88826 104274 115860 133239 156411 173790 177652 208548 222065 260685 266478 312822 347580 399717 444130 521370 532956 625644 666195 782055 799434 888260 1042740 1199151 1332390 1564110 1598868 1998585 2398302 2664780 3128220 3597453 3997170 4796604 5995755 7194906 7994340 11991510 14389812 17987265 23983020 35974530 71949060