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470769270 = 235171922557
BaseRepresentation
bin11100000011110…
…101111001110110
31012210211120000220
4130003311321312
51431004104040
6114414115210
714444321106
oct3403657166
91183746026
10470769270
11221811a14
121117abb06
13766bc2ca
1446747206
152b4e22d0
hex1c0f5e76

470769270 has 96 divisors (see below), whose sum is σ = 1263079008. Its totient is φ = 111891456.

The previous prime is 470769239. The next prime is 470769281. The reversal of 470769270 is 72967074.

470769270 is a nontrivial binomial coefficient, being equal to C(30685, 2).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182832 + ... + 185388.

It is an arithmetic number, because the mean of its divisors is an integer number (13157073).

Almost surely, 2470769270 is an apocalyptic number.

470769270 is the 30684-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470769270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631539504).

470769270 is an abundant number, since it is smaller than the sum of its proper divisors (792309738).

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

470769270 is a wasteful number, since it uses less digits than its factorization.

470769270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 470769270 is about 21697.2180244381. The cubic root of 470769270 is about 777.9219670923.

The spelling of 470769270 in words is "four hundred seventy million, seven hundred sixty-nine thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 361 510 570 646 722 969 1083 1615 1805 1938 2166 2557 3230 3610 4845 5114 5415 6137 7671 9690 10830 12274 12785 15342 18411 25570 30685 36822 38355 43469 48583 61370 76710 86938 92055 97166 130407 145749 184110 217345 242915 260814 291498 434690 485830 652035 728745 825911 923077 1304070 1457490 1651822 1846154 2477733 2769231 4129555 4615385 4955466 5538462 8259110 9230770 12388665 13846155 15692309 24777330 27692310 31384618 47076927 78461545 94153854 156923090 235384635 470769270