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770020272 = 243271515059
BaseRepresentation
bin101101111001011…
…001001110110000
31222122221002020100
4231321121032300
53034111122042
6204224112400
725040031030
oct5571311660
91878832210
10770020272
1136572469a
12195a65700
13c36b71c8
14743a38c0
154790424c
hex2de593b0

770020272 has 120 divisors (see below), whose sum is σ = 2479642880. Its totient is φ = 218505600.

The previous prime is 770020261. The next prime is 770020297. The reversal of 770020272 is 272020077.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149679 + ... + 154737.

Almost surely, 2770020272 is an apocalyptic number.

770020272 is a gapful number since it is divisible by the number (72) 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 770020272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239821440).

770020272 is an abundant number, since it is smaller than the sum of its proper divisors (1709622608).

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

770020272 is a wasteful number, since it uses less digits than its factorization.

770020272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 770020272 is about 27749.2391247039. The cubic root of 770020272 is about 916.5736889203.

It can be divided in two parts, 7700 and 20272, that added together give a palindrome (27972).

The spelling of 770020272 in words is "seven hundred seventy million, twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 151 168 252 302 336 453 504 604 906 1008 1057 1208 1359 1812 2114 2416 2718 3171 3624 4228 5059 5436 6342 7248 8456 9513 10118 10872 12684 15177 16912 19026 20236 21744 25368 30354 35413 38052 40472 45531 50736 60708 70826 76104 80944 91062 106239 121416 141652 152208 182124 212478 242832 283304 318717 364248 424956 566608 637434 728496 763909 849912 1274868 1527818 1699824 2291727 2549736 3055636 4583454 5099472 5347363 6111272 6875181 9166908 10694726 12222544 13750362 16042089 18333816 21389452 27500724 32084178 36667632 42778904 48126267 55001448 64168356 85557808 96252534 110002896 128336712 192505068 256673424 385010136 770020272