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87921930 = 23519732113
BaseRepresentation
bin1010011110110…
…01010100001010
320010102220012210
411033121110022
5140002000210
612420245550
72115216105
oct517312412
9203386183
1087921930
11456a2058
12255408b6
13152a5115
14b96973c
157abae20
hex53d950a

87921930 has 64 divisors (see below), whose sum is σ = 225267840. Its totient is φ = 21897216.

The previous prime is 87921929. The next prime is 87921931. The reversal of 87921930 is 3912978.

It is an interprime number because it is at equal distance from previous prime (87921929) and next prime (87921931).

It is not an unprimeable number, because it can be changed into a prime (87921931) 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 31 ways as a sum of consecutive naturals, for example, 40554 + ... + 42666.

It is an arithmetic number, because the mean of its divisors is an integer number (3519810).

Almost surely, 287921930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87921930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112633920).

87921930 is an abundant number, since it is smaller than the sum of its proper divisors (137345910).

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

87921930 is a wasteful number, since it uses less digits than its factorization.

87921930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215.

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 87921930 is about 9376.6694513564. The cubic root of 87921930 is about 444.6644442535.

The spelling of 87921930 in words is "eighty-seven million, nine hundred twenty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 73 95 114 146 190 219 285 365 438 570 730 1095 1387 2113 2190 2774 4161 4226 6339 6935 8322 10565 12678 13870 20805 21130 31695 40147 41610 63390 80294 120441 154249 200735 240882 308498 401470 462747 602205 771245 925494 1204410 1542490 2313735 2930731 4627470 5861462 8792193 14653655 17584386 29307310 43960965 87921930