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770053240 = 235112922081
BaseRepresentation
bin101101111001100…
…001010001111000
31222122222202110101
4231321201101320
53034113200430
6204224525144
725040226115
oct5571412170
91878882411
10770053240
11365747440
12195a807b4
13c36c9208
14743b190c
154790ddca
hex2de61478

770053240 has 96 divisors (see below), whose sum is σ = 1958495760. Its totient is φ = 270233600.

The previous prime is 770053231. The next prime is 770053247. The reversal of 770053240 is 42350077.

770053240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 770053199 and 770053208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770053247) 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, 369000 + ... + 371080.

Almost surely, 2770053240 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 770053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979247880).

770053240 is an abundant number, since it is smaller than the sum of its proper divisors (1188442520).

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

770053240 is a wasteful number, since it uses less digits than its factorization.

770053240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 770053240 is about 27749.8331526516. The cubic root of 770053240 is about 916.5867696020.

The spelling of 770053240 in words is "seven hundred seventy million, fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 841 1160 1276 1595 1682 2081 2552 3190 3364 4162 4205 6380 6728 8324 8410 9251 10405 12760 16648 16820 18502 20810 22891 33640 37004 41620 45782 46255 60349 74008 83240 91564 92510 114455 120698 183128 185020 228910 241396 301745 370040 457820 482792 603490 663839 915640 1206980 1327678 1750121 2413960 2655356 3319195 3500242 5310712 6638390 7000484 8750605 13276780 14000968 17501210 19251331 26553560 35002420 38502662 70004840 77005324 96256655 154010648 192513310 385026620 770053240