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87390420 = 223513181619
BaseRepresentation
bin1010011010101…
…11100011010100
320002102220010020
411031113203110
5134332443140
612401025140
72110543365
oct515274324
9202386106
1087390420
1145369797
12253251b0
131514a210
14b86bb6c
157a136d0
hex53578d4

87390420 has 96 divisors (see below), whose sum is σ = 265399680. Its totient is φ = 21358080.

The previous prime is 87390389. The next prime is 87390449. The reversal of 87390420 is 2409378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140871 + ... + 141489.

It is an arithmetic number, because the mean of its divisors is an integer number (2764580).

Almost surely, 287390420 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 87390420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132699840).

87390420 is an abundant number, since it is smaller than the sum of its proper divisors (178009260).

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

87390420 is a wasteful number, since it uses less digits than its factorization.

87390420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 87390420 is about 9348.2843345718. The cubic root of 87390420 is about 443.7665967475.

Adding to 87390420 its reverse (2409378), we get a palindrome (89799798).

The spelling of 87390420 in words is "eighty-seven million, three hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 181 195 260 362 390 543 619 724 780 905 1086 1238 1810 1857 2172 2353 2476 2715 3095 3620 3714 4706 5430 6190 7059 7428 8047 9285 9412 10860 11765 12380 14118 16094 18570 23530 24141 28236 32188 35295 37140 40235 47060 48282 70590 80470 96564 112039 120705 141180 160940 224078 241410 336117 448156 482820 560195 672234 1120390 1344468 1456507 1680585 2240780 2913014 3361170 4369521 5826028 6722340 7282535 8739042 14565070 17478084 21847605 29130140 43695210 87390420