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71741440 = 212531113
BaseRepresentation
bin1000100011010…
…11000000000000
311222222211202101
410101223000000
5121331211230
611041400144
71530535501
oct421530000
9158884671
1071741440
1137550451
1220039054
1311b2b374
149756ba8
156471aca
hex446b000

71741440 has 104 divisors (see below), whose sum is σ = 179284608. Its totient is φ = 27525120.

The previous prime is 71741419. The next prime is 71741441. The reversal of 71741440 is 4414717.

It is a junction number, because it is equal to n+sod(n) for n = 71741399 and 71741408.

It is not an unprimeable number, because it can be changed into a prime (71741441) 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 7 ways as a sum of consecutive naturals, for example, 634824 + ... + 634936.

Almost surely, 271741440 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 71741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89642304).

71741440 is an abundant number, since it is smaller than the sum of its proper divisors (107543168).

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

71741440 is a wasteful number, since it uses less digits than its factorization.

71741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 71741440 is about 8470.0318771537. The cubic root of 71741440 is about 415.5181798335.

The spelling of 71741440 in words is "seventy-one million, seven hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 113 124 128 155 160 226 248 256 310 320 452 496 512 565 620 640 904 992 1024 1130 1240 1280 1808 1984 2048 2260 2480 2560 3503 3616 3968 4096 4520 4960 5120 7006 7232 7936 9040 9920 10240 14012 14464 15872 17515 18080 19840 20480 28024 28928 31744 35030 36160 39680 56048 57856 63488 70060 72320 79360 112096 115712 126976 140120 144640 158720 224192 231424 280240 289280 317440 448384 462848 560480 578560 634880 896768 1120960 1157120 1793536 2241920 2314240 3587072 4483840 7174144 8967680 14348288 17935360 35870720 71741440