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86921940 = 22357349593
BaseRepresentation
bin1010010111001…
…01001011010100
320001120002111010
411023211023110
5134223000230
612343012220
72103552510
oct513451324
9201502433
1086921940
1145079816
122513a070
1315014c01
14b789140
15796e9b0
hex52e52d4

86921940 has 96 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 19777536.

The previous prime is 86921851. The next prime is 86921953. The reversal of 86921940 is 4912968.

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 31 ways as a sum of consecutive naturals, for example, 146284 + ... + 146876.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 286921940 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 86921940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

86921940 is an abundant number, since it is smaller than the sum of its proper divisors (192495660).

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

86921940 is a wasteful number, since it uses less digits than its factorization.

86921940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 86921940 is about 9323.1936588274. The cubic root of 86921940 is about 442.9721985383.

The spelling of 86921940 in words is "eighty-six million, nine hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 349 420 593 698 1047 1186 1396 1745 1779 2094 2372 2443 2965 3490 3558 4151 4188 4886 5235 5930 6980 7116 7329 8302 8895 9772 10470 11860 12215 12453 14658 16604 17790 20755 20940 24430 24906 29316 35580 36645 41510 48860 49812 62265 73290 83020 124530 146580 206957 249060 413914 620871 827828 1034785 1241742 1448699 2069570 2483484 2897398 3104355 4139140 4346097 5794796 6208710 7243495 8692194 12417420 14486990 17384388 21730485 28973980 43460970 86921940