Search a number
-
+
16002240 = 263579211
BaseRepresentation
bin111101000010…
…110011000000
31010002222221120
4331002303000
513044032430
61330552240
7253005522
oct75026300
933088846
1016002240
11903a7a1
125438680
1334138a7
1421a7a12
151611610
hexf42cc0

16002240 has 112 divisors (see below), whose sum is σ = 51694080. Its totient is φ = 4193280.

The previous prime is 16002221. The next prime is 16002263. The reversal of 16002240 is 4220061.

16002240 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75735 + ... + 75945.

Almost surely, 216002240 is an apocalyptic number.

16002240 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 16002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25847040).

16002240 is an abundant number, since it is smaller than the sum of its proper divisors (35691840).

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

16002240 is a wasteful number, since it uses less digits than its factorization.

16002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 16002240 is about 4000.2799902007. The cubic root of 16002240 is about 251.9959686934.

The spelling of 16002240 in words is "sixteen million, two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 192 211 237 240 316 320 395 422 474 480 632 633 790 844 948 960 1055 1185 1264 1266 1580 1688 1896 2110 2370 2528 2532 3160 3165 3376 3792 4220 4740 5056 5064 6320 6330 6752 7584 8440 9480 10128 12640 12660 13504 15168 16669 16880 18960 20256 25280 25320 33338 33760 37920 40512 50007 50640 66676 67520 75840 83345 100014 101280 133352 166690 200028 202560 250035 266704 333380 400056 500070 533408 666760 800112 1000140 1066816 1333520 1600224 2000280 2667040 3200448 4000560 5334080 8001120 16002240