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87117192 = 233223311697
BaseRepresentation
bin1010011000101…
…00110110001000
320001221000022200
411030110312020
5134300222232
612351120200
72105324661
oct514246610
9201830280
1087117192
11451a2488
1225213060
1315082a46
14b7da368
1579ac77c
hex5314d88

87117192 has 96 divisors (see below), whose sum is σ = 254292480. Its totient is φ = 26864640.

The previous prime is 87117187. The next prime is 87117209. The reversal of 87117192 is 29171178.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50488 + ... + 52184.

It is an arithmetic number, because the mean of its divisors is an integer number (2648880).

Almost surely, 287117192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87117192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127146240).

87117192 is an abundant number, since it is smaller than the sum of its proper divisors (167175288).

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

87117192 is a wasteful number, since it uses less digits than its factorization.

87117192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1756 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 87117192 is about 9333.6590895532. The cubic root of 87117192 is about 443.3036320326.

The spelling of 87117192 in words is "eighty-seven million, one hundred seventeen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 31 36 46 62 69 72 92 93 124 138 184 186 207 248 276 279 372 414 552 558 713 744 828 1116 1426 1656 1697 2139 2232 2852 3394 4278 5091 5704 6417 6788 8556 10182 12834 13576 15273 17112 20364 25668 30546 39031 40728 51336 52607 61092 78062 105214 117093 122184 156124 157821 210428 234186 312248 315642 351279 420856 468372 473463 631284 702558 936744 946926 1209961 1262568 1405116 1893852 2419922 2810232 3629883 3787704 4839844 7259766 9679688 10889649 14519532 21779298 29039064 43558596 87117192