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16128990 = 2335314147
BaseRepresentation
bin111101100001…
…101111011110
31010100102211000
4331201233132
513112111430
61333411130
7254044203
oct75415736
933312730
1016128990
119116a49
125499aa6
1334594a7
1421dbcaa
151638e60
hexf61bde

16128990 has 128 divisors (see below), whose sum is σ = 46448640. Its totient is φ = 3974400.

The previous prime is 16128989. The next prime is 16129067. The reversal of 16128990 is 9982161.

Added to its reverse (9982161) it gives a triangular number (26111151 = T7226).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343147 + ... + 343193.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 216128990 is an apocalyptic number.

16128990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16128990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

16128990 is an abundant number, since it is smaller than the sum of its proper divisors (30319650).

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

16128990 is a wasteful number, since it uses less digits than its factorization.

16128990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 16128990 is about 4016.0913834224. The cubic root of 16128990 is about 252.6595534400.

Adding to 16128990 its reverse (9982161), we get a triangular number (26111151 = T7226).

The spelling of 16128990 in words is "sixteen million, one hundred twenty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 41 45 47 54 62 82 90 93 94 123 135 141 155 186 205 235 246 270 279 282 310 369 410 423 465 470 558 615 705 738 837 846 930 1107 1230 1269 1271 1395 1410 1457 1674 1845 1927 2115 2214 2538 2542 2790 2914 3690 3813 3854 4185 4230 4371 5535 5781 6345 6355 7285 7626 8370 8742 9635 11070 11439 11562 12690 12710 13113 14570 17343 19065 19270 21855 22878 26226 28905 34317 34686 38130 39339 43710 52029 57195 57810 59737 65565 68634 78678 86715 104058 114390 119474 131130 171585 173430 179211 196695 260145 298685 343170 358422 393390 520290 537633 597370 896055 1075266 1612899 1792110 2688165 3225798 5376330 8064495 16128990