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16105740 = 22357311237
BaseRepresentation
bin111101011100…
…000100001100
31010022020220220
4331130010030
513110340430
61333111340
7253616340
oct75340414
933266826
1016105740
119100532
125488550
13344ba31
1421d3620
151632110
hexf5c10c

16105740 has 96 divisors (see below), whose sum is σ = 53243904. Its totient is φ = 3559680.

The previous prime is 16105723. The next prime is 16105751. The reversal of 16105740 is 4750161.

It is a self number, because there is not a number n which added to its sum of digits gives 16105740.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12402 + ... + 13638.

It is an arithmetic number, because the mean of its divisors is an integer number (554624).

Almost surely, 216105740 is an apocalyptic number.

16105740 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 16105740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26621952).

16105740 is an abundant number, since it is smaller than the sum of its proper divisors (37138164).

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

16105740 is a wasteful number, since it uses less digits than its factorization.

16105740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 16105740 is about 4013.1957340753. The cubic root of 16105740 is about 252.5380918254.

The spelling of 16105740 in words is "sixteen million, one hundred five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1237 1302 1860 2170 2474 2604 3255 3711 4340 4948 6185 6510 7422 8659 12370 13020 14844 17318 18555 24740 25977 34636 37110 38347 43295 51954 74220 76694 86590 103908 115041 129885 153388 173180 191735 230082 259770 268429 383470 460164 519540 536858 575205 766940 805287 1073716 1150410 1342145 1610574 2300820 2684290 3221148 4026435 5368580 8052870 16105740