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71420160 = 283572657
BaseRepresentation
bin1000100000111…
…00100100000000
311222101112001010
410100130210000
5121240421120
611030440520
71525030020
oct420344400
9158345033
1071420160
1137351029
121bb03140
1311a48066
1496b1a80
15640b7e0
hex441c900

71420160 has 144 divisors (see below), whose sum is σ = 260781696. Its totient is φ = 16318464.

The previous prime is 71420159. The next prime is 71420161. The reversal of 71420160 is 6102417.

It is an interprime number because it is at equal distance from previous prime (71420159) and next prime (71420161).

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

It is not an unprimeable number, because it can be changed into a prime (71420161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25552 + ... + 28208.

It is an arithmetic number, because the mean of its divisors is an integer number (1810984).

Almost surely, 271420160 is an apocalyptic number.

71420160 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 71420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130390848).

71420160 is an abundant number, since it is smaller than the sum of its proper divisors (189361536).

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

71420160 is a wasteful number, since it uses less digits than its factorization.

71420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 71420160 is about 8451.0449058090. The cubic root of 71420160 is about 414.8969793150.

Adding to 71420160 its reverse (6102417), we get a palindrome (77522577).

The spelling of 71420160 in words is "seventy-one million, four hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2657 2688 3360 3840 4480 5314 5376 6720 7971 8960 10628 13285 13440 15942 18599 21256 26570 26880 31884 37198 39855 42512 53140 55797 63768 74396 79710 85024 92995 106280 111594 127536 148792 159420 170048 185990 212560 223188 255072 278985 297584 318840 340096 371980 425120 446376 510144 557970 595168 637680 680192 743960 850240 892752 1020288 1115940 1190336 1275360 1487920 1700480 1785504 2040576 2231880 2380672 2550720 2975840 3400960 3571008 4463760 4761344 5101440 5951680 7142016 8927520 10202880 11903360 14284032 17855040 23806720 35710080 71420160