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86342940 = 22325736571
BaseRepresentation
bin1010010010101…
…11110100011100
320000110200020200
411021113310130
5134100433230
612322343500
72065621455
oct511276434
9200420220
1086342940
1144813802
1224abab90
1314b714c8
14b67812c
1578a8160
hex5257d1c

86342940 has 72 divisors (see below), whose sum is σ = 265535088. Its totient is φ = 22705920.

The previous prime is 86342939. The next prime is 86342951. The reversal of 86342940 is 4924368.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 86342895 and 86342904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9855 + ... + 16425.

Almost surely, 286342940 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 86342940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132767544).

86342940 is an abundant number, since it is smaller than the sum of its proper divisors (179192148).

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

86342940 is a wasteful number, since it uses less digits than its factorization.

86342940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86342940 is about 9292.0901846678. The cubic root of 86342940 is about 441.9864385730.

The spelling of 86342940 in words is "eighty-six million, three hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 6571 13140 13142 19713 26284 32855 39426 59139 65710 78852 98565 118278 131420 197130 236556 295695 394260 479683 591390 959366 1182780 1439049 1918732 2398415 2878098 4317147 4796830 5756196 7195245 8634294 9593660 14390490 17268588 21585735 28780980 43171470 86342940