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11930490 = 23451113103
BaseRepresentation
bin101101100000…
…101101111010
3211110010120000
4231200231322
511023233430
61103413430
7203256525
oct55405572
924403500
1011930490
116809610
123bb4276
132619480
141827bbc
1510a9e60
hexb60b7a

11930490 has 160 divisors (see below), whose sum is σ = 38054016. Its totient is φ = 2643840.

The previous prime is 11930483. The next prime is 11930497. The reversal of 11930490 is 9403911.

It is an interprime number because it is at equal distance from previous prime (11930483) and next prime (11930497).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11930497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115779 + ... + 115881.

Almost surely, 211930490 is an apocalyptic number.

11930490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11930490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027008).

11930490 is an abundant number, since it is smaller than the sum of its proper divisors (26123526).

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

11930490 is a wasteful number, since it uses less digits than its factorization.

11930490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11930490 is about 3454.0541397031. The cubic root of 11930490 is about 228.4999417442.

The spelling of 11930490 in words is "eleven million, nine hundred thirty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 81 90 99 103 110 117 130 135 143 162 165 195 198 206 234 270 286 297 309 330 351 390 405 429 495 515 585 594 618 702 715 810 858 891 927 990 1030 1053 1133 1170 1287 1339 1430 1485 1545 1755 1782 1854 2106 2145 2266 2574 2678 2781 2970 3090 3399 3510 3861 4017 4290 4455 4635 5265 5562 5665 6435 6695 6798 7722 8034 8343 8910 9270 10197 10530 11330 11583 12051 12870 13390 13905 14729 16686 16995 19305 20085 20394 23166 24102 27810 29458 30591 33990 36153 38610 40170 41715 44187 50985 57915 60255 61182 72306 73645 83430 88374 91773 101970 108459 115830 120510 132561 147290 152955 180765 183546 216918 220935 265122 305910 361530 397683 441870 458865 542295 662805 795366 917730 1084590 1193049 1325610 1988415 2386098 3976830 5965245 11930490