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471420720 = 243253121121
BaseRepresentation
bin11100000110010…
…100111100110000
31012212001122122200
4130012110330300
51431140430340
6114440103200
714453003301
oct3406247460
91185048580
10471420720
11222117401
12111a64b00
1376889994
14468767a8
152b5c0330
hex1c194f30

471420720 has 120 divisors (see below), whose sum is σ = 1634335872. Its totient is φ = 121651200.

The previous prime is 471420683. The next prime is 471420721. The reversal of 471420720 is 27024174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (471420721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11760 + ... + 32880.

Almost surely, 2471420720 is an apocalyptic number.

471420720 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 471420720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817167936).

471420720 is an abundant number, since it is smaller than the sum of its proper divisors (1162915152).

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

471420720 is a wasteful number, since it uses less digits than its factorization.

471420720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21171 (or 21162 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 471420720 is about 21712.2251277938. The cubic root of 471420720 is about 778.2806308921.

Adding to 471420720 its reverse (27024174), we get a palindrome (498444894).

The spelling of 471420720 in words is "four hundred seventy-one million, four hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 21121 22320 42242 63363 84484 105605 126726 168968 190089 211210 253452 316815 337936 380178 422420 506904 633630 654751 760356 844840 950445 1013808 1267260 1309502 1520712 1689680 1900890 1964253 2534520 2619004 3041424 3273755 3801780 3928506 5069040 5238008 5892759 6547510 7603560 7857012 9821265 10476016 11785518 13095020 15207120 15714024 19642530 23571036 26190040 29463795 31428048 39285060 47142072 52380080 58927590 78570120 94284144 117855180 157140240 235710360 471420720