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470401620 = 2235131931741
BaseRepresentation
bin11100000010011…
…100001001010100
31012210010212201020
4130002130021110
51430410322440
6114402201140
714441230203
oct3402341124
91183125636
10470401620
11221590777
121116531b0
13765c0b70
144668d23a
152b46d3d0
hex1c09c254

470401620 has 96 divisors (see below), whose sum is σ = 1493143680. Its totient is φ = 109693440.

The previous prime is 470401619. The next prime is 470401621. The reversal of 470401620 is 26104074.

It is an interprime number because it is at equal distance from previous prime (470401619) and next prime (470401621).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470401621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051 + ... + 30690.

It is an arithmetic number, because the mean of its divisors is an integer number (15553580).

Almost surely, 2470401620 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 470401620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746571840).

470401620 is an abundant number, since it is smaller than the sum of its proper divisors (1022742060).

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

470401620 is a wasteful number, since it uses less digits than its factorization.

470401620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31785 (or 31783 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 470401620 is about 21688.7440853545. The cubic root of 470401620 is about 777.7194067910.

Adding to 470401620 its reverse (26104074), we get a palindrome (496505694).

The spelling of 470401620 in words is "four hundred seventy million, four hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 31741 63482 95223 126964 158705 190446 317410 380892 412633 476115 603079 634820 825266 952230 1206158 1237899 1650532 1809237 1904460 2063165 2412316 2475798 3015395 3618474 4126330 4951596 6030790 6189495 7236948 7840027 8252660 9046185 12061580 12378990 15680054 18092370 23520081 24757980 31360108 36184740 39200135 47040162 78400270 94080324 117600405 156800540 235200810 470401620