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87436780 = 225172291123
BaseRepresentation
bin1010011011000…
…10110111101100
320002112020201021
411031202313230
5134340434110
612402023524
72111125504
oct515426754
9202466637
1087436780
11453a0602
1225347ba4
1315165352
14b880a04
157a222da
hex5362dec

87436780 has 48 divisors (see below), whose sum is σ = 195441120. Its totient is φ = 32744448.

The previous prime is 87436757. The next prime is 87436781. The reversal of 87436780 is 8763478.

It is not an unprimeable number, because it can be changed into a prime (87436781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77299 + ... + 78421.

It is an arithmetic number, because the mean of its divisors is an integer number (4071690).

Almost surely, 287436780 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 87436780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97720560).

87436780 is an abundant number, since it is smaller than the sum of its proper divisors (108004340).

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

87436780 is a wasteful number, since it uses less digits than its factorization.

87436780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 87436780 is about 9350.7636051822. The cubic root of 87436780 is about 443.8450545561.

The spelling of 87436780 in words is "eighty-seven million, four hundred thirty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 229 340 458 916 1123 1145 2246 2290 3893 4492 4580 5615 7786 11230 15572 19091 19465 22460 38182 38930 76364 77860 95455 190910 257167 381820 514334 1028668 1285835 2571670 4371839 5143340 8743678 17487356 21859195 43718390 87436780