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16124940 = 22335132297
BaseRepresentation
bin111101100000…
…110000001100
31010100020021000
4331200300030
513111444230
61333340300
7254026326
oct75406014
933306230
1016124940
1191139a7
125497690
1334576b0
1421da616
151637b60
hexf60c0c

16124940 has 96 divisors (see below), whose sum is σ = 54048960. Its totient is φ = 3967488.

The previous prime is 16124917. The next prime is 16124971. The reversal of 16124940 is 4942161.

16124940 is a `hidden beast` number, since 1 + 612 + 4 + 9 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5872 + ... + 8168.

It is an arithmetic number, because the mean of its divisors is an integer number (563010).

Almost surely, 216124940 is an apocalyptic number.

16124940 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 16124940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27024480).

16124940 is an abundant number, since it is smaller than the sum of its proper divisors (37924020).

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

16124940 is a wasteful number, since it uses less digits than its factorization.

16124940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16124940 is about 4015.5871301716. The cubic root of 16124940 is about 252.6384040097.

The spelling of 16124940 in words is "sixteen million, one hundred twenty-four thousand, nine 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 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2297 2340 3510 4594 6891 7020 9188 11485 13782 20673 22970 27564 29861 34455 41346 45940 59722 62019 68910 82692 89583 103365 119444 124038 137820 149305 179166 206730 248076 268749 298610 310095 358332 413460 447915 537498 597220 620190 806247 895830 1074996 1240380 1343745 1612494 1791660 2687490 3224988 4031235 5374980 8062470 16124940