Search a number
-
+
14980128 = 2531767137
BaseRepresentation
bin111001001001…
…010000100000
31001012001212120
4321021100200
512313331003
61253024240
7241220562
oct71112040
931161776
1014980128
118501879
125025080
1331465a7
141dbd332
1514ad853
hexe49420

14980128 has 96 divisors (see below), whose sum is σ = 42565824. Its totient is φ = 4595712.

The previous prime is 14980117. The next prime is 14980139. The reversal of 14980128 is 82108941.

It is an interprime number because it is at equal distance from previous prime (14980117) and next prime (14980139).

It is a tau number, because it is divible by the number of its divisors (96).

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, 109276 + ... + 109412.

It is an arithmetic number, because the mean of its divisors is an integer number (443394).

Almost surely, 214980128 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 14980128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21282912).

14980128 is an abundant number, since it is smaller than the sum of its proper divisors (27585696).

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

14980128 is a wasteful number, since it uses less digits than its factorization.

14980128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 14980128 is about 3870.4170317939. The cubic root of 14980128 is about 246.5122513787.

The spelling of 14980128 in words is "fourteen million, nine hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 67 68 96 102 134 136 137 201 204 268 272 274 402 408 411 536 544 548 804 816 822 1072 1096 1139 1608 1632 1644 2144 2192 2278 2329 3216 3288 3417 4384 4556 4658 6432 6576 6834 6987 9112 9179 9316 13152 13668 13974 18224 18358 18632 27336 27537 27948 36448 36716 37264 54672 55074 55896 73432 74528 109344 110148 111792 146864 156043 220296 223584 293728 312086 440592 468129 624172 881184 936258 1248344 1872516 2496688 3745032 4993376 7490064 14980128