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20070320 = 2452941211
BaseRepresentation
bin100110010001…
…1111110110000
31101202200022012
41030203332300
520114222240
61554102052
7332411024
oct114437660
941680265
1020070320
1110369146
12687a928
13420943a
142946384
151b66b65
hex1323fb0

20070320 has 80 divisors (see below), whose sum is σ = 49684320. Its totient is φ = 7526400.

The previous prime is 20070307. The next prime is 20070343. The reversal of 20070320 is 2307002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20070295 and 20070304.

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 15 ways as a sum of consecutive naturals, for example, 95015 + ... + 95225.

It is an arithmetic number, because the mean of its divisors is an integer number (621054).

Almost surely, 220070320 is an apocalyptic number.

20070320 is a gapful number since it is divisible by the number (20) 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 20070320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24842160).

20070320 is an abundant number, since it is smaller than the sum of its proper divisors (29614000).

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

20070320 is a wasteful number, since it uses less digits than its factorization.

20070320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 20070320 is about 4479.9910714197. The cubic root of 20070320 is about 271.7595192827.

Adding to 20070320 its reverse (2307002), we get a palindrome (22377322).

The spelling of 20070320 in words is "twenty million, seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 41 58 80 82 116 145 164 205 211 232 290 328 410 422 464 580 656 820 844 1055 1160 1189 1640 1688 2110 2320 2378 3280 3376 4220 4756 5945 6119 8440 8651 9512 11890 12238 16880 17302 19024 23780 24476 30595 34604 43255 47560 48952 61190 69208 86510 95120 97904 122380 138416 173020 244760 250879 346040 489520 501758 692080 1003516 1254395 2007032 2508790 4014064 5017580 10035160 20070320