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87236480 = 275314397
BaseRepresentation
bin1010011001100…
…01111110000000
320002011001221202
411030301332000
5134313031410
612353440332
72106332522
oct514617600
9202131852
1087236480
1145274071
12252700a8
13150c5126
14b82ba12
1579d2ca5
hex5331f80

87236480 has 64 divisors (see below), whose sum is σ = 215326080. Its totient is φ = 33761280.

The previous prime is 87236419. The next prime is 87236489. The reversal of 87236480 is 8463278.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×872364802 = 15220406885580800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87236489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17642 + ... + 22038.

It is an arithmetic number, because the mean of its divisors is an integer number (3364470).

Almost surely, 287236480 is an apocalyptic number.

87236480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107663040).

87236480 is an abundant number, since it is smaller than the sum of its proper divisors (128089600).

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

87236480 is a wasteful number, since it uses less digits than its factorization.

87236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 87236480 is about 9340.0471090889. The cubic root of 87236480 is about 443.5058756409.

The spelling of 87236480 in words is "eighty-seven million, two hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4397 4960 8794 9920 17588 19840 21985 35176 43970 70352 87940 136307 140704 175880 272614 281408 351760 545228 562816 681535 703520 1090456 1363070 1407040 2180912 2726140 2814080 4361824 5452280 8723648 10904560 17447296 21809120 43618240 87236480