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71054130 = 23572347313
BaseRepresentation
bin1000011110000…
…11001100110010
311221200220221110
410033003030302
5121142213010
611014534150
71521643620
oct417031462
9157626843
1071054130
1137121024
121b967356
131194a584
149618510
156388120
hex43c3332

71054130 has 128 divisors (see below), whose sum is σ = 208355328. Its totient is φ = 15155712.

The previous prime is 71054119. The next prime is 71054131. The reversal of 71054130 is 3145017.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 71054097 and 71054106.

It is not an unprimeable number, because it can be changed into a prime (71054131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226854 + ... + 227166.

It is an arithmetic number, because the mean of its divisors is an integer number (1627776).

Almost surely, 271054130 is an apocalyptic number.

71054130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71054130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104177664).

71054130 is an abundant number, since it is smaller than the sum of its proper divisors (137301198).

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

71054130 is a wasteful number, since it uses less digits than its factorization.

71054130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 71054130 is about 8429.3611857602. The cubic root of 71054130 is about 414.1869794152.

Adding to 71054130 its reverse (3145017), we get a palindrome (74199147).

The spelling of 71054130 in words is "seventy-one million, fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 47 69 70 94 105 115 138 141 161 210 230 235 282 313 322 329 345 470 483 626 658 690 705 805 939 966 987 1081 1410 1565 1610 1645 1878 1974 2162 2191 2415 3130 3243 3290 4382 4695 4830 4935 5405 6486 6573 7199 7567 9390 9870 10810 10955 13146 14398 14711 15134 16215 21597 21910 22701 29422 32430 32865 35995 37835 43194 44133 45402 50393 65730 71990 73555 75670 88266 100786 102977 107985 113505 147110 151179 205954 215970 220665 227010 251965 302358 308931 338353 441330 503930 514885 617862 676706 755895 1015059 1029770 1511790 1544655 1691765 2030118 2368471 3089310 3383530 4736942 5075295 7105413 10150590 11842355 14210826 23684710 35527065 71054130