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87340960 = 255777983
BaseRepresentation
bin1010011010010…
…11011110100000
320002100101021101
411031023132200
5134324402320
612400004144
72110246240
oct515133640
9202311241
1087340960
1145335613
1225300654
1315130855
14b857b20
157a03c0a
hex534b7a0

87340960 has 48 divisors (see below), whose sum is σ = 235823616. Its totient is φ = 29945088.

The previous prime is 87340949. The next prime is 87340963. The reversal of 87340960 is 6904378.

It is not an unprimeable number, because it can be changed into a prime (87340963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37872 + ... + 40111.

It is an arithmetic number, because the mean of its divisors is an integer number (4912992).

Almost surely, 287340960 is an apocalyptic number.

87340960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87340960 is an abundant number, since it is smaller than the sum of its proper divisors (148482656).

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

87340960 is a wasteful number, since it uses less digits than its factorization.

87340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78005 (or 77997 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 87340960 is about 9345.6385549624. The cubic root of 87340960 is about 443.6828620242.

The spelling of 87340960 in words is "eighty-seven million, three hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 77983 155966 311932 389915 545881 623864 779830 1091762 1247728 1559660 2183524 2495456 2729405 3119320 4367048 5458810 6238640 8734096 10917620 12477280 17468192 21835240 43670480 87340960