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10930140 = 2235513173
BaseRepresentation
bin101001101100…
…011111011100
3202120022100000
4221230133130
510244231030
61030134300
7161622204
oct51543734
922508300
1010930140
116195a81
1237b1390
132359050
141647404
15e5d860
hexa6c7dc

10930140 has 144 divisors (see below), whose sum is σ = 37241568. Its totient is φ = 2674944.

The previous prime is 10930109. The next prime is 10930181. The reversal of 10930140 is 4103901.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 63094 + ... + 63266.

It is an arithmetic number, because the mean of its divisors is an integer number (258622).

Almost surely, 210930140 is an apocalyptic number.

10930140 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 10930140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18620784).

10930140 is an abundant number, since it is smaller than the sum of its proper divisors (26311428).

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

10930140 is a wasteful number, since it uses less digits than its factorization.

10930140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10930140 is about 3306.0762241666. The cubic root of 10930140 is about 221.9261989894.

The spelling of 10930140 in words is "ten million, nine hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 173 180 195 234 243 260 270 324 346 351 390 405 468 486 519 540 585 692 702 780 810 865 972 1038 1053 1170 1215 1404 1557 1620 1730 1755 2076 2106 2249 2340 2430 2595 3114 3159 3460 3510 4212 4498 4671 4860 5190 5265 6228 6318 6747 7020 7785 8996 9342 10380 10530 11245 12636 13494 14013 15570 15795 18684 20241 21060 22490 23355 26988 28026 31140 31590 33735 40482 42039 44980 46710 56052 60723 63180 67470 70065 80964 84078 93420 101205 121446 134940 140130 168156 182169 202410 210195 242892 280260 303615 364338 404820 420390 546507 607230 728676 840780 910845 1093014 1214460 1821690 2186028 2732535 3643380 5465070 10930140