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16290144 = 25321319229
BaseRepresentation
bin111110001001…
…000101100000
31010122121212200
4332021011200
513132241034
61341053200
7255315063
oct76110540
933577780
1016290144
119217032
125557200
1334b4950
1422408da
15166ba99
hexf89160

16290144 has 144 divisors (see below), whose sum is σ = 52743600. Its totient is φ = 4727808.

The previous prime is 16290143. The next prime is 16290149. The reversal of 16290144 is 44109261.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16290143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71022 + ... + 71250.

It is an arithmetic number, because the mean of its divisors is an integer number (366275).

Almost surely, 216290144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26371800).

16290144 is an abundant number, since it is smaller than the sum of its proper divisors (36453456).

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

16290144 is a wasteful number, since it uses less digits than its factorization.

16290144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16290144 is about 4036.1050531422. The cubic root of 16290144 is about 253.4982551845.

The spelling of 16290144 in words is "sixteen million, two hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 229 234 247 288 304 312 342 416 456 458 468 494 608 624 684 687 741 912 916 936 988 1248 1368 1374 1482 1824 1832 1872 1976 2061 2223 2736 2748 2964 2977 3664 3744 3952 4122 4351 4446 5472 5496 5928 5954 7328 7904 8244 8702 8892 8931 10992 11856 11908 13053 16488 17404 17784 17862 21984 23712 23816 26106 26793 32976 34808 35568 35724 39159 47632 52212 53586 56563 65952 69616 71136 71448 78318 95264 104424 107172 113126 139232 142896 156636 169689 208848 214344 226252 285792 313272 339378 417696 428688 452504 509067 626544 678756 857376 905008 1018134 1253088 1357512 1810016 2036268 2715024 4072536 5430048 8145072 16290144