Search a number
-
+
16490100 = 223521119263
BaseRepresentation
bin111110111001…
…111001110100
31011000210011110
4332321321310
513210140400
61345235020
7260110044
oct76717164
934023143
1016490100
119343290
125632a70
133554973
142293724
1516aae50
hexfb9e74

16490100 has 144 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 3772800.

The previous prime is 16490059. The next prime is 16490101. The reversal of 16490100 is 109461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16490101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62569 + ... + 62831.

It is an arithmetic number, because the mean of its divisors is an integer number (381920).

Almost surely, 216490100 is an apocalyptic number.

16490100 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 16490100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

16490100 is an abundant number, since it is smaller than the sum of its proper divisors (38506380).

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

16490100 is a wasteful number, since it uses less digits than its factorization.

16490100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 16490100 is about 4060.8004137116. The cubic root of 16490100 is about 254.5312418626.

Adding to 16490100 its reverse (109461), we get a palindrome (16599561).

The spelling of 16490100 in words is "sixteen million, four hundred ninety thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 263 275 285 300 330 380 418 475 526 550 570 627 660 789 825 836 950 1045 1052 1100 1140 1254 1315 1425 1578 1650 1900 2090 2508 2630 2850 2893 3135 3156 3300 3945 4180 4997 5225 5260 5700 5786 6270 6575 7890 8679 9994 10450 11572 12540 13150 14465 14991 15675 15780 17358 19725 19988 20900 24985 26300 28930 29982 31350 34716 39450 43395 49970 54967 57860 59964 62700 72325 74955 78900 86790 99940 109934 124925 144650 149910 164901 173580 216975 219868 249850 274835 289300 299820 329802 374775 433950 499700 549670 659604 749550 824505 867900 1099340 1374175 1499100 1649010 2748350 3298020 4122525 5496700 8245050 16490100