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71096640 = 2635312389
BaseRepresentation
bin1000011110011…
…01100101000000
311221210002020220
410033031211000
5121200043030
611015503040
71522211556
oct417154500
9157702226
1071096640
113714aa5a
121b987a80
1311963a24
149629bd6
156395a10
hex43cd940

71096640 has 112 divisors (see below), whose sum is σ = 233111040. Its totient is φ = 18339840.

The previous prime is 71096639. The next prime is 71096699. The reversal of 71096640 is 4669017.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 28566 + ... + 30954.

Almost surely, 271096640 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 71096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116555520).

71096640 is an abundant number, since it is smaller than the sum of its proper divisors (162014400).

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

71096640 is a wasteful number, since it uses less digits than its factorization.

71096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 71096640 is about 8431.8823521204. The cubic root of 71096640 is about 414.2695623622.

The spelling of 71096640 in words is "seventy-one million, ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2389 2480 2976 3720 4778 4960 5952 7167 7440 9556 9920 11945 14334 14880 19112 23890 28668 29760 35835 38224 47780 57336 71670 74059 76448 95560 114672 143340 148118 152896 191120 222177 229344 286680 296236 370295 382240 444354 458688 573360 592472 740590 764480 888708 1110885 1146720 1184944 1481180 1777416 2221770 2293440 2369888 2962360 3554832 4443540 4739776 5924720 7109664 8887080 11849440 14219328 17774160 23698880 35548320 71096640