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93124020 = 2235112101127
BaseRepresentation
bin1011000110011…
…11010110110100
320111020012010210
411203033112310
5142314432040
613123545420
72210353413
oct543172664
9214205123
1093124020
1148625500
122722b270
13163a6b92
14c52147a
158297480
hex58cf5b4

93124020 has 144 divisors (see below), whose sum is σ = 291723264. Its totient is φ = 22176000.

The previous prime is 93124013. The next prime is 93124039. The reversal of 93124020 is 2042139.

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, 733197 + ... + 733323.

It is an arithmetic number, because the mean of its divisors is an integer number (2025856).

Almost surely, 293124020 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 93124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145861632).

93124020 is an abundant number, since it is smaller than the sum of its proper divisors (198599244).

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

93124020 is a wasteful number, since it uses less digits than its factorization.

93124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 93124020 is about 9650.0787561553. The cubic root of 93124020 is about 453.2667950690.

Adding to 93124020 its reverse (2042139), we get a palindrome (95166159).

The spelling of 93124020 in words is "ninety-three million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 121 127 132 165 202 220 242 254 303 330 363 381 404 484 505 508 605 606 635 660 726 762 1010 1111 1210 1212 1270 1397 1452 1515 1524 1815 1905 2020 2222 2420 2540 2794 3030 3333 3630 3810 4191 4444 5555 5588 6060 6666 6985 7260 7620 8382 11110 12221 12827 13332 13970 15367 16665 16764 20955 22220 24442 25654 27940 30734 33330 36663 38481 41910 46101 48884 51308 61105 61468 64135 66660 73326 76835 76962 83820 92202 122210 128270 141097 146652 153670 153924 183315 184404 192405 230505 244420 256540 282194 307340 366630 384810 423291 461010 564388 705485 733260 769620 846582 922020 1410970 1552067 1693164 2116455 2821940 3104134 4232910 4656201 6208268 7760335 8465820 9312402 15520670 18624804 23281005 31041340 46562010 93124020