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71835240 = 23351015927
BaseRepresentation
bin1000100100000…
…01111001101000
312000011121102110
410102001321220
5121342211430
611043402320
71531406121
oct422017150
9160147373
1071835240
1137604974
12200833a0
1311b61c79
14977d048
15648e7b0
hex4481e68

71835240 has 64 divisors (see below), whose sum is σ = 217676160. Its totient is φ = 18963200.

The previous prime is 71835229. The next prime is 71835259. The reversal of 71835240 is 4253817.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 71835198 and 71835207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9157 + ... + 15083.

It is an arithmetic number, because the mean of its divisors is an integer number (3401190).

Almost surely, 271835240 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 71835240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108838080).

71835240 is an abundant number, since it is smaller than the sum of its proper divisors (145840920).

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

71835240 is a wasteful number, since it uses less digits than its factorization.

71835240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042 (or 6038 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 71835240 is about 8475.5672376544. The cubic root of 71835240 is about 415.6991939080.

The spelling of 71835240 in words is "seventy-one million, eight hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 5927 6060 11854 12120 17781 23708 29635 35562 47416 59270 71124 88905 118540 142248 177810 237080 355620 598627 711240 1197254 1795881 2394508 2993135 3591762 4789016 5986270 7183524 8979405 11972540 14367048 17958810 23945080 35917620 71835240