Search a number
-
+
16126560 = 253353733
BaseRepresentation
bin111101100001…
…001001100000
31010100022111000
4331201021200
513112022220
61333352000
7254034132
oct75411140
933308430
1016126560
11911513a
125498600
133458358
1421db052
151638390
hexf61260

16126560 has 96 divisors (see below), whose sum is σ = 56458080. Its totient is φ = 4299264.

The previous prime is 16126553. The next prime is 16126567. The reversal of 16126560 is 6562161.

It is a happy number.

16126560 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16126553) and next prime (16126567).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16126567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2454 + ... + 6186.

It is an arithmetic number, because the mean of its divisors is an integer number (588105).

Almost surely, 216126560 is an apocalyptic number.

16126560 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 16126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28229040).

16126560 is an abundant number, since it is smaller than the sum of its proper divisors (40331520).

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

16126560 is a wasteful number, since it uses less digits than its factorization.

16126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 16126560 is about 4015.7888390701. The cubic root of 16126560 is about 252.6468642067.

The spelling of 16126560 in words is "sixteen million, one hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 3733 4320 7466 11199 14932 18665 22398 29864 33597 37330 44796 55995 59728 67194 74660 89592 100791 111990 119456 134388 149320 167985 179184 201582 223980 268776 298640 335970 358368 403164 447960 503955 537552 597280 671940 806328 895920 1007910 1075104 1343880 1612656 1791840 2015820 2687760 3225312 4031640 5375520 8063280 16126560