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71422440 = 233517157223
BaseRepresentation
bin1000100000111…
…01000111101000
311222101122011120
410100131013220
5121241004230
611030455240
71525036455
oct420350750
9158348146
1071422440
1137352811
121bb04520
1311a490cb
1496b282c
15640c310
hex441d1e8

71422440 has 128 divisors (see below), whose sum is σ = 229340160. Its totient is φ = 17731584.

The previous prime is 71422433. The next prime is 71422487. The reversal of 71422440 is 4422417.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 71422440.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 320169 + ... + 320391.

It is an arithmetic number, because the mean of its divisors is an integer number (1791720).

Almost surely, 271422440 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 71422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

71422440 is an abundant number, since it is smaller than the sum of its proper divisors (157917720).

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

71422440 is a wasteful number, since it uses less digits than its factorization.

71422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 71422440 is about 8451.1797992943. The cubic root of 71422440 is about 414.9013942918.

Adding to 71422440 its reverse (4422417), we get a palindrome (75844857).

The spelling of 71422440 in words is "seventy-one million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 157 170 204 223 255 314 340 408 446 471 510 628 669 680 785 892 942 1020 1115 1256 1338 1570 1784 1884 2040 2230 2355 2669 2676 3140 3345 3768 3791 4460 4710 5338 5352 6280 6690 7582 8007 8920 9420 10676 11373 13345 13380 15164 16014 18840 18955 21352 22746 26690 26760 30328 32028 35011 37910 40035 45492 53380 56865 64056 70022 75820 80070 90984 105033 106760 113730 140044 151640 160140 175055 210066 227460 280088 320280 350110 420132 454920 525165 595187 700220 840264 1050330 1190374 1400440 1785561 2100660 2380748 2975935 3571122 4201320 4761496 5951870 7142244 8927805 11903740 14284488 17855610 23807480 35711220 71422440