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18152940 = 22351317372
BaseRepresentation
bin100010100111…
…1110111101100
31021011021011010
41011033313230
514121343230
61445025220
7310204011
oct105176754
937137133
1018152940
11a279633
1260b5210
1339b77b0
1425a7708
1518d89b0
hex114fdec

18152940 has 144 divisors (see below), whose sum is σ = 59566752. Its totient is φ = 4091904.

The previous prime is 18152933. The next prime is 18152941. The reversal of 18152940 is 4925181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18152898 and 18152907.

It is not an unprimeable number, because it can be changed into a prime (18152941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490602 + ... + 490638.

It is an arithmetic number, because the mean of its divisors is an integer number (413658).

Almost surely, 218152940 is an apocalyptic number.

18152940 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 18152940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29783376).

18152940 is an abundant number, since it is smaller than the sum of its proper divisors (41413812).

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

18152940 is a wasteful number, since it uses less digits than its factorization.

18152940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 18152940 is about 4260.6267144635. The cubic root of 18152940 is about 262.8142992667.

It can be divided in two parts, 1815 and 2940, that multiplied together give a square (5336100 = 23102).

The spelling of 18152940 in words is "eighteen million, one hundred fifty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 37 39 51 52 60 65 68 74 78 85 102 111 130 148 156 170 185 195 204 221 222 255 260 340 370 390 442 444 481 510 555 629 663 740 780 884 962 1020 1105 1110 1258 1326 1369 1443 1887 1924 2210 2220 2405 2516 2652 2738 2886 3145 3315 3774 4107 4420 4810 5476 5772 6290 6630 6845 7215 7548 8177 8214 9435 9620 12580 13260 13690 14430 16354 16428 17797 18870 20535 23273 24531 27380 28860 32708 35594 37740 40885 41070 46546 49062 53391 69819 71188 81770 82140 88985 93092 98124 106782 116365 122655 139638 163540 177970 213564 232730 245310 266955 279276 302549 349095 355940 465460 490620 533910 605098 698190 907647 1067820 1210196 1396380 1512745 1815294 3025490 3630588 4538235 6050980 9076470 18152940