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87123740 = 225111921097
BaseRepresentation
bin1010011000101…
…10011100011100
320001221100022012
411030112130130
5134300424430
612351210352
72105353034
oct514263434
9201840265
1087123740
11451a73a0
12252169b8
1315085a12
14b7dc8c4
1579ae695
hex531671c

87123740 has 72 divisors (see below), whose sum is σ = 210842352. Its totient is φ = 29986560.

The previous prime is 87123739. The next prime is 87123761. The reversal of 87123740 is 4732178.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87123697 and 87123706.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 78872 + ... + 79968.

It is an arithmetic number, because the mean of its divisors is an integer number (2928366).

Almost surely, 287123740 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 87123740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105421176).

87123740 is an abundant number, since it is smaller than the sum of its proper divisors (123718612).

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

87123740 is a wasteful number, since it uses less digits than its factorization.

87123740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 87123740 is about 9334.0098564336. The cubic root of 87123740 is about 443.3147384491.

The spelling of 87123740 in words is "eighty-seven million, one hundred twenty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 722 836 1045 1097 1444 1805 2090 2194 3610 3971 4180 4388 5485 7220 7942 10970 12067 15884 19855 20843 21940 24134 39710 41686 48268 60335 79420 83372 104215 120670 208430 229273 241340 396017 416860 458546 792034 917092 1146365 1584068 1980085 2292730 3960170 4356187 4585460 7920340 8712374 17424748 21780935 43561870 87123740