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87870480 = 2435366127
BaseRepresentation
bin1010011110011…
…00110000010000
320010100021122020
411033030300100
5134443323410
612415211440
72114613105
oct517146020
9203307566
1087870480
1145667435
1225516b80
1315287889
14b954aac
157aaaa70
hex53ccc10

87870480 has 40 divisors (see below), whose sum is σ = 272399232. Its totient is φ = 23432064.

The previous prime is 87870479. The next prime is 87870481. The reversal of 87870480 is 8407878.

It is an interprime number because it is at equal distance from previous prime (87870479) and next prime (87870481).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (87870481) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 182824 + ... + 183303.

Almost surely, 287870480 is an apocalyptic number.

87870480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87870480 is an abundant number, since it is smaller than the sum of its proper divisors (184528752).

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

87870480 is a wasteful number, since it uses less digits than its factorization.

87870480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366143 (or 366137 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 87870480 is about 9373.9255384284. The cubic root of 87870480 is about 444.5776913441.

The spelling of 87870480 in words is "eighty-seven million, eight hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 366127 732254 1098381 1464508 1830635 2196762 2929016 3661270 4393524 5491905 5858032 7322540 8787048 10983810 14645080 17574096 21967620 29290160 43935240 87870480