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86903190 = 232511412141
BaseRepresentation
bin1010010111000…
…00100110010110
320001112010202200
411023200212112
5134221400230
612342345330
72103444033
oct513404626
9201463680
1086903190
1145066720
122512b246
131500950a
14b78238a
157969160
hex52e0996

86903190 has 96 divisors (see below), whose sum is σ = 252618912. Its totient is φ = 20544000.

The previous prime is 86903189. The next prime is 86903203. The reversal of 86903190 is 9130968.

It is a super-2 number, since 2×869031902 = 15104328864352200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39520 + ... + 41660.

It is an arithmetic number, because the mean of its divisors is an integer number (2631447).

Almost surely, 286903190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86903190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126309456).

86903190 is an abundant number, since it is smaller than the sum of its proper divisors (165715722).

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

86903190 is a wasteful number, since it uses less digits than its factorization.

86903190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 86903190 is about 9322.1880478780. The cubic root of 86903190 is about 442.9403449541.

The spelling of 86903190 in words is "eighty-six million, nine hundred three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 990 1230 1353 1845 2141 2255 2706 3690 4059 4282 4510 6423 6765 8118 10705 12846 13530 19269 20295 21410 23551 32115 38538 40590 47102 64230 70653 87781 96345 117755 141306 175562 192690 211959 235510 263343 353265 423918 438905 526686 706530 790029 877810 965591 1059795 1316715 1580058 1931182 2119590 2633430 2896773 3950145 4827955 5793546 7900290 8690319 9655910 14483865 17380638 28967730 43451595 86903190