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10930017240 = 2332541972461
BaseRepresentation
bin10100010110111101…
…01101001111011000
31001012201202101221100
422023132231033120
5134341041022430
65004324111400
7534566420322
oct121336551730
931181671840
1010930017240
1146a97897aa
122150535560
13105259392c
14759894612
1543e868960
hex28b7ad3d8

10930017240 has 96 divisors (see below), whose sum is σ = 35607826800. Its totient is φ = 2907674880.

The previous prime is 10930017239. The next prime is 10930017251. The reversal of 10930017240 is 4271003901.

10930017240 is a `hidden beast` number, since 109 + 300 + 17 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114610 + ... + 187070.

Almost surely, 210930017240 is an apocalyptic number.

10930017240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10930017240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17803913400).

10930017240 is an abundant number, since it is smaller than the sum of its proper divisors (24677809560).

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

10930017240 is a wasteful number, since it uses less digits than its factorization.

10930017240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72897 (or 72890 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10930017240 in words is "ten billion, nine hundred thirty million, seventeen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 419 838 1257 1676 2095 2514 3352 3771 4190 5028 6285 7542 8380 10056 12570 15084 16760 18855 25140 30168 37710 50280 72461 75420 144922 150840 217383 289844 362305 434766 579688 652149 724610 869532 1086915 1304298 1449220 1739064 2173830 2608596 2898440 3260745 4347660 5217192 6521490 8695320 13042980 26085960 30361159 60722318 91083477 121444636 151805795 182166954 242889272 273250431 303611590 364333908 455417385 546500862 607223180 728667816 910834770 1093001724 1214446360 1366252155 1821669540 2186003448 2732504310 3643339080 5465008620 10930017240