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87867240 = 23351037109
BaseRepresentation
bin1010011110010…
…11111101101000
320010100010012020
411033023331220
5134443222430
612415144440
72114600466
oct517137550
9203303166
1087867240
1145664a5a
1225515120
1315286266
14b953836
157aa9b10
hex53cbf68

87867240 has 64 divisors (see below), whose sum is σ = 266198400. Its totient is φ = 23200512.

The previous prime is 87867239. The next prime is 87867259. The reversal of 87867240 is 4276878.

It is a junction number, because it is equal to n+sod(n) for n = 87867192 and 87867201.

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, 8806 + ... + 15914.

It is an arithmetic number, because the mean of its divisors is an integer number (4159350).

Almost surely, 287867240 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 87867240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133099200).

87867240 is an abundant number, since it is smaller than the sum of its proper divisors (178331160).

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

87867240 is a wasteful number, since it uses less digits than its factorization.

87867240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 87867240 is about 9373.7527170285. The cubic root of 87867240 is about 444.5722270539.

The spelling of 87867240 in words is "eighty-seven million, eight hundred sixty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 7109 12360 14218 21327 28436 35545 42654 56872 71090 85308 106635 142180 170616 213270 284360 426540 732227 853080 1464454 2196681 2928908 3661135 4393362 5857816 7322270 8786724 10983405 14644540 17573448 21966810 29289080 43933620 87867240