Search a number
-
+
14840064 = 283319113
BaseRepresentation
bin111000100111…
…000100000000
31000220221202000
4320213010000
512244340224
61250024000
7240065331
oct70470400
930827660
1014840064
118416618
124b78000
1330c7905
141d84288
1514820c9
hexe27100

14840064 has 144 divisors (see below), whose sum is σ = 46603200. Its totient is φ = 4644864.

The previous prime is 14840047. The next prime is 14840087. The reversal of 14840064 is 46004841.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 131272 + ... + 131384.

Almost surely, 214840064 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 14840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23301600).

14840064 is an abundant number, since it is smaller than the sum of its proper divisors (31763136).

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

14840064 is a wasteful number, since it uses less digits than its factorization.

14840064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14840064 is about 3852.2803636288. The cubic root of 14840064 is about 245.7415489077.

The spelling of 14840064 in words is "fourteen million, eight hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 113 114 128 144 152 171 192 216 226 228 256 288 304 339 342 384 432 452 456 513 576 608 678 684 768 864 904 912 1017 1026 1152 1216 1356 1368 1728 1808 1824 2034 2052 2147 2304 2432 2712 2736 3051 3456 3616 3648 4068 4104 4294 4864 5424 5472 6102 6441 6912 7232 7296 8136 8208 8588 10848 10944 12204 12882 14464 14592 16272 16416 17176 19323 21696 21888 24408 25764 28928 32544 32832 34352 38646 43392 43776 48816 51528 57969 65088 65664 68704 77292 86784 97632 103056 115938 130176 131328 137408 154584 195264 206112 231876 260352 274816 309168 390528 412224 463752 549632 618336 781056 824448 927504 1236672 1648896 1855008 2473344 3710016 4946688 7420032 14840064