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87239104 = 2617181443
BaseRepresentation
bin1010011001100…
…10100111000000
320002011012112221
411030302213000
5134313122404
612353500424
72106343261
oct514624700
9202135487
1087239104
1145276037
1225271714
13150c6394
14b82c968
1579d3954
hex53329c0

87239104 has 56 divisors (see below), whose sum is σ = 184727088. Its totient is φ = 40734720.

The previous prime is 87239101. The next prime is 87239107. The reversal of 87239104 is 40193278.

It is an interprime number because it is at equal distance from previous prime (87239101) and next prime (87239107).

It is a super-2 number, since 2×872391042 = 15221322533445632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 87239104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87239101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 196707 + ... + 197149.

It is an arithmetic number, because the mean of its divisors is an integer number (3298698).

Almost surely, 287239104 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 87239104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92363544).

87239104 is an abundant number, since it is smaller than the sum of its proper divisors (97487984).

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

87239104 is a wasteful number, since it uses less digits than its factorization.

87239104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 87239104 is about 9340.1875784162. The cubic root of 87239104 is about 443.5103223576.

The spelling of 87239104 in words is "eighty-seven million, two hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 181 272 362 443 544 724 886 1088 1448 1772 2896 3077 3544 5792 6154 7088 7531 11584 12308 14176 15062 24616 28352 30124 49232 60248 80183 98464 120496 160366 196928 240992 320732 481984 641464 1282928 1363111 2565856 2726222 5131712 5452444 10904888 21809776 43619552 87239104