Search a number
-
+
1245065856 = 27317892143
BaseRepresentation
bin100101000110110…
…0011001010000000
310012202210220021020
41022031203022000
510022214101411
6323314025440
742565612416
oct11215431200
93182726236
101245065856
11589897451
122a8b78280
1316ac42a78
14bb5012b6
157448d606
hex4a363280

1245065856 has 128 divisors (see below), whose sum is σ = 3542745600. Its totient is φ = 386039808.

The previous prime is 1245065837. The next prime is 1245065863. The reversal of 1245065856 is 6585605421.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579921 + ... + 582063.

It is an arithmetic number, because the mean of its divisors is an integer number (27677700).

Almost surely, 21245065856 is an apocalyptic number.

1245065856 is a gapful number since it is divisible by the number (16) 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 1245065856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771372800).

1245065856 is an abundant number, since it is smaller than the sum of its proper divisors (2297679744).

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

1245065856 is a wasteful number, since it uses less digits than its factorization.

1245065856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 1245065856 is about 35285.4907291935. The cubic root of 1245065856 is about 1075.7981038440.

The spelling of 1245065856 in words is "one billion, two hundred forty-five million, sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 89 96 102 128 136 178 192 204 267 272 356 384 408 534 544 712 816 1068 1088 1424 1513 1632 2136 2143 2176 2848 3026 3264 4272 4286 4539 5696 6052 6429 6528 8544 8572 9078 11392 12104 12858 17088 17144 18156 24208 25716 34176 34288 36312 36431 48416 51432 68576 72624 72862 96832 102864 109293 137152 145248 145724 190727 193664 205728 218586 274304 290496 291448 381454 411456 437172 572181 580992 582896 762908 822912 874344 1144362 1165792 1525816 1748688 2288724 2331584 3051632 3242359 3497376 4577448 4663168 6103264 6484718 6994752 9154896 9727077 12206528 12969436 13989504 18309792 19454154 24413056 25938872 36619584 38908308 51877744 73239168 77816616 103755488 155633232 207510976 311266464 415021952 622532928 1245065856