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87235380 = 2234553849
BaseRepresentation
bin1010011001100…
…01101100110100
320002011000110000
411030301230310
5134313013010
612353431300
72106326361
oct514615464
9202130400
1087235380
1145273261
122526b530
13150c478b
14b82b468
1579d27c0
hex5331b34

87235380 has 60 divisors (see below), whose sum is σ = 273665700. Its totient is φ = 23262336.

The previous prime is 87235373. The next prime is 87235387. The reversal of 87235380 is 8353278.

It is an interprime number because it is at equal distance from previous prime (87235373) and next prime (87235387).

It can be written as a sum of positive squares in 2 ways, for example, as 68260644 + 18974736 = 8262^2 + 4356^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×872353802 = 15220023047488800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87235387) 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 19 ways as a sum of consecutive naturals, for example, 25305 + ... + 28544.

It is an arithmetic number, because the mean of its divisors is an integer number (4561095).

Almost surely, 287235380 is an apocalyptic number.

It is an amenable number.

87235380 is an abundant number, since it is smaller than the sum of its proper divisors (186430320).

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

87235380 is a wasteful number, since it uses less digits than its factorization.

87235380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53870 (or 53859 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87235380 is about 9339.9882226906. The cubic root of 87235380 is about 443.5040115181.

The spelling of 87235380 in words is "eighty-seven million, two hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 53849 107698 161547 215396 269245 323094 484641 538490 646188 807735 969282 1076980 1453923 1615470 1938564 2423205 2907846 3230940 4361769 4846410 5815692 7269615 8723538 9692820 14539230 17447076 21808845 29078460 43617690 87235380