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16219140 = 2235723273
BaseRepresentation
bin111101110111…
…110000000100
31010112000110220
4331313300010
513123003030
61335344340
7254601060
oct75676004
933460426
1016219140
119178753
1255220b0
13348b532
142222aa0
151655a10
hexf77c04

16219140 has 144 divisors (see below), whose sum is σ = 54999168. Its totient is φ = 3497472.

The previous prime is 16219121. The next prime is 16219171. The reversal of 16219140 is 4191261.

It is a self number, because there is not a number n which added to its sum of digits gives 16219140.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 222144 + ... + 222216.

Almost surely, 216219140 is an apocalyptic number.

16219140 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 16219140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27499584).

16219140 is an abundant number, since it is smaller than the sum of its proper divisors (38780028).

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

16219140 is a wasteful number, since it uses less digits than its factorization.

16219140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 16219140 is about 4027.2993432324. The cubic root of 16219140 is about 253.1294103789.

The spelling of 16219140 in words is "sixteen million, two hundred nineteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 73 84 92 105 115 138 140 146 161 210 219 230 276 292 322 345 365 420 438 460 483 511 529 644 690 730 805 876 966 1022 1058 1095 1380 1460 1533 1587 1610 1679 1932 2044 2116 2190 2415 2555 2645 3066 3174 3220 3358 3703 4380 4830 5037 5110 5290 6132 6348 6716 7406 7665 7935 8395 9660 10074 10220 10580 11109 11753 14812 15330 15870 16790 18515 20148 22218 23506 25185 30660 31740 33580 35259 37030 38617 44436 47012 50370 55545 58765 70518 74060 77234 100740 111090 115851 117530 141036 154468 176295 193085 222180 231702 235060 270319 352590 386170 463404 540638 579255 705180 772340 810957 1081276 1158510 1351595 1621914 2317020 2703190 3243828 4054785 5406380 8109570 16219140