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71430000 = 243542381
BaseRepresentation
bin1000100000111…
…10111101110000
311222102000112120
410100132331300
5121241230000
611030554240
71525100505
oct420367560
9158360476
1071430000
1137358464
121bb08980
1311a4c695
1496b54ac
15640e6a0
hex441ef70

71430000 has 100 divisors (see below), whose sum is σ = 230682408. Its totient is φ = 19040000.

The previous prime is 71429999. The next prime is 71430001. The reversal of 71430000 is 3417.

It is an interprime number because it is at equal distance from previous prime (71429999) and next prime (71430001).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71430001) 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 19 ways as a sum of consecutive naturals, for example, 28810 + ... + 31190.

Almost surely, 271430000 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 71430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115341204).

71430000 is an abundant number, since it is smaller than the sum of its proper divisors (159252408).

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

71430000 is a wasteful number, since it uses less digits than its factorization.

71430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 71430000 is about 8451.6270622881. The cubic root of 71430000 is about 414.9160327531.

Adding to 71430000 its reverse (3417), we get a palindrome (71433417).

The spelling of 71430000 in words is "seventy-one million, four hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2381 2500 3000 3750 4762 5000 6000 7143 7500 9524 10000 11905 14286 15000 19048 23810 28572 30000 35715 38096 47620 57144 59525 71430 95240 114288 119050 142860 178575 190480 238100 285720 297625 357150 476200 571440 595250 714300 892875 952400 1190500 1428600 1488125 1785750 2381000 2857200 2976250 3571500 4464375 4762000 5952500 7143000 8928750 11905000 14286000 17857500 23810000 35715000 71430000