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16142280 = 23357111747
BaseRepresentation
bin111101100100…
…111111001000
31010101010001020
4331210333020
513113023110
61333552440
7254131020
oct75447710
933333036
1016142280
119125a30
1254a5720
13346255b
142202a80
15163cd70
hexf64fc8

16142280 has 128 divisors (see below), whose sum is σ = 60410880. Its totient is φ = 3352320.

The previous prime is 16142279. The next prime is 16142293. The reversal of 16142280 is 8224161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16142280.

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, 8367 + ... + 10113.

It is an arithmetic number, because the mean of its divisors is an integer number (471960).

Almost surely, 216142280 is an apocalyptic number.

16142280 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 16142280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30205440).

16142280 is an abundant number, since it is smaller than the sum of its proper divisors (44268600).

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

16142280 is a wasteful number, since it uses less digits than its factorization.

16142280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 16142280 is about 4017.7456365479. The cubic root of 16142280 is about 252.7289300433.

The spelling of 16142280 in words is "sixteen million, one hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1747 1848 2310 3080 3494 4620 5241 6988 8735 9240 10482 12229 13976 17470 19217 20964 24458 26205 34940 36687 38434 41928 48916 52410 57651 61145 69880 73374 76868 96085 97832 104820 115302 122290 134519 146748 153736 183435 192170 209640 230604 244580 269038 288255 293496 366870 384340 403557 461208 489160 538076 576510 672595 733740 768680 807114 1076152 1153020 1345190 1467480 1614228 2017785 2306040 2690380 3228456 4035570 5380760 8071140 16142280