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163352020 = 225132311559
BaseRepresentation
bin10011011110010…
…00110111010100
3102101101010211211
421233020313110
5313304231040
624113111204
74022316646
oct1157106724
9371333754
10163352020
1184231877
1246858504
1327ac5400
14179a2896
15e51a8ea
hex9bc8dd4

163352020 has 72 divisors (see below), whose sum is σ = 383685120. Its totient is φ = 58331520.

The previous prime is 163352011. The next prime is 163352023. The reversal of 163352020 is 20253361.

It is a junction number, because it is equal to n+sod(n) for n = 163351982 and 163352000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163352023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104001 + ... + 105559.

It is an arithmetic number, because the mean of its divisors is an integer number (5328960).

Almost surely, 2163352020 is an apocalyptic number.

163352020 is a gapful number since it is divisible by the number (10) 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 163352020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191842560).

163352020 is an abundant number, since it is smaller than the sum of its proper divisors (220333100).

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

163352020 is a wasteful number, since it uses less digits than its factorization.

163352020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 163352020 is about 12780.9240667489. The cubic root of 163352020 is about 546.6485113608.

The spelling of 163352020 in words is "one hundred sixty-three million, three hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 169 260 310 338 403 620 676 806 845 1559 1612 1690 2015 3118 3380 4030 5239 6236 7795 8060 10478 15590 20267 20956 26195 31180 40534 48329 52390 81068 96658 101335 104780 193316 202670 241645 263471 405340 483290 526942 628277 966580 1053884 1256554 1317355 2513108 2634710 3141385 5269420 6282770 8167601 12565540 16335202 32670404 40838005 81676010 163352020