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93230040 = 233517231987
BaseRepresentation
bin1011000111010…
…01001111011000
320111102120120110
411203221033120
5142331330130
613130124320
72211304461
oct543511730
9214376513
1093230040
1148698122
12272806a0
1316413207
14c54bd68
1582b8ab0
hex58e93d8

93230040 has 128 divisors (see below), whose sum is σ = 309173760. Its totient is φ = 22370304.

The previous prime is 93230009. The next prime is 93230069. The reversal of 93230040 is 4003239.

It is a junction number, because it is equal to n+sod(n) for n = 93229989 and 93230016.

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, 45927 + ... + 47913.

It is an arithmetic number, because the mean of its divisors is an integer number (2415420).

Almost surely, 293230040 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 93230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154586880).

93230040 is an abundant number, since it is smaller than the sum of its proper divisors (215943720).

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

93230040 is a wasteful number, since it uses less digits than its factorization.

93230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 93230040 is about 9655.5704129792. The cubic root of 93230040 is about 453.4387418285.

Adding to 93230040 its reverse (4003239), we get a palindrome (97233279).

The spelling of 93230040 in words is "ninety-three million, two hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 680 690 782 920 1020 1173 1380 1564 1955 1987 2040 2346 2760 3128 3910 3974 4692 5865 5961 7820 7948 9384 9935 11730 11922 15640 15896 19870 23460 23844 29805 33779 39740 45701 46920 47688 59610 67558 79480 91402 101337 119220 135116 137103 168895 182804 202674 228505 238440 270232 274206 337790 365608 405348 457010 506685 548412 675580 685515 776917 810696 914020 1013370 1096824 1351160 1371030 1553834 1828040 2026740 2330751 2742060 3107668 3884585 4053480 4661502 5484120 6215336 7769170 9323004 11653755 15538340 18646008 23307510 31076680 46615020 93230040