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476102680 = 2351737127149
BaseRepresentation
bin11100011000001…
…100000000011000
31020011212112002121
4130120030000120
51433340241210
6115124311024
714540543314
oct3430140030
91204775077
10476102680
11224824a99
12113542474
1377838a81
1447334b44
152bbe76da
hex1c60c018

476102680 has 128 divisors (see below), whose sum is σ = 1181952000. Its totient is φ = 171859968.

The previous prime is 476102651. The next prime is 476102699. The reversal of 476102680 is 86201674.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3195246 + ... + 3195394.

It is an arithmetic number, because the mean of its divisors is an integer number (9234000).

Almost surely, 2476102680 is an apocalyptic number.

476102680 is a gapful number since it is divisible by the number (40) 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 476102680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590976000).

476102680 is an abundant number, since it is smaller than the sum of its proper divisors (705849320).

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

476102680 is a wasteful number, since it uses less digits than its factorization.

476102680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 476102680 is about 21819.7772674242. Note that the first 3 decimals coincide. The cubic root of 476102680 is about 780.8486708427.

The spelling of 476102680 in words is "four hundred seventy-six million, one hundred two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 127 136 148 149 170 185 254 296 298 340 370 508 596 629 635 680 740 745 1016 1192 1258 1270 1480 1490 2159 2516 2533 2540 2980 3145 4318 4699 5032 5066 5080 5513 5960 6290 8636 9398 10132 10795 11026 12580 12665 17272 18796 18923 20264 21590 22052 23495 25160 25330 27565 37592 37846 43180 44104 46990 50660 55130 75692 79883 86360 93721 93980 94615 101320 110260 151384 159766 187442 187960 189230 220520 319532 321691 374884 378460 399415 468605 639064 643382 700151 749768 756920 798830 937210 1286764 1400302 1597660 1608455 1874420 2573528 2800604 3195320 3216910 3500755 3748840 5601208 6433820 7001510 11902567 12867640 14003020 23805134 28006040 47610268 59512835 95220536 119025670 238051340 476102680