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776223140 = 225711677523
BaseRepresentation
bin101110010001000…
…011100110100100
32000002121012222012
4232101003212210
53042203120030
6205005053352
725143534140
oct5621034644
92002535865
10776223140
11369180a30
12197b57258
13c4a79644
147513a220
154822c095
hex2e4439a4

776223140 has 96 divisors (see below), whose sum is σ = 2062900224. Its totient is φ = 238296960.

The previous prime is 776223139. The next prime is 776223187. The reversal of 776223140 is 41322677.

It is a junction number, because it is equal to n+sod(n) for n = 776223097 and 776223106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99419 + ... + 106941.

It is an arithmetic number, because the mean of its divisors is an integer number (21488544).

Almost surely, 2776223140 is an apocalyptic number.

776223140 is a gapful number since it is divisible by the number (70) 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 776223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031450112).

776223140 is an abundant number, since it is smaller than the sum of its proper divisors (1286677084).

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

776223140 is a wasteful number, since it uses less digits than its factorization.

776223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617 (or 7615 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 776223140 is about 27860.7813960772. The cubic root of 776223140 is about 919.0282508899.

The spelling of 776223140 in words is "seven hundred seventy-six million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 67 70 77 110 134 140 154 220 268 308 335 385 469 670 737 770 938 1340 1474 1540 1876 2345 2948 3685 4690 5159 7370 7523 9380 10318 14740 15046 20636 25795 30092 37615 51590 52661 75230 82753 103180 105322 150460 165506 210644 263305 331012 413765 504041 526610 579271 827530 1008082 1053220 1158542 1655060 2016164 2317084 2520205 2896355 3528287 5040410 5544451 5792710 7056574 10080820 11088902 11585420 14113148 17641435 22177804 27722255 35282870 38811157 55444510 70565740 77622314 110889020 155244628 194055785 388111570 776223140