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87070844 = 227219103227
BaseRepresentation
bin1010011000010…
…01100001111100
320001211122202002
411030021201330
5134242231334
612350121432
72105042600
oct514114174
9201748662
1087070844
1145170683
12251b0278
1315067913
14b7c7500
15799db7e
hex530987c

87070844 has 72 divisors (see below), whose sum is σ = 189221760. Its totient is φ = 34854624.

The previous prime is 87070831. The next prime is 87070849. The reversal of 87070844 is 44807078.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 87070798 and 87070807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87070849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383459 + ... + 383685.

It is an arithmetic number, because the mean of its divisors is an integer number (2628080).

Almost surely, 287070844 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 87070844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94610880).

87070844 is an abundant number, since it is smaller than the sum of its proper divisors (102150916).

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

87070844 is a wasteful number, since it uses less digits than its factorization.

87070844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 87070844 is about 9331.1759173215. The cubic root of 87070844 is about 443.2250027708.

The spelling of 87070844 in words is "eighty-seven million, seventy thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 103 133 196 206 227 266 412 454 532 721 908 931 1442 1589 1862 1957 2884 3178 3724 3914 4313 5047 6356 7828 8626 10094 11123 13699 17252 20188 22246 23381 27398 30191 44492 46762 54796 60382 93524 95893 120764 163667 191786 211337 327334 383572 422674 444239 654668 845348 888478 1145669 1776956 2291338 3109673 4582676 6219346 12438692 21767711 43535422 87070844