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163083420 = 223253747521
BaseRepresentation
bin10011011100001…
…11010010011100
3102100212111101200
421232013102130
5313222132140
624103235500
74020120603
oct1156072234
9370774350
10163083420
1184068a95
1246748b90
1327a30086
1417932a3a
15e4b6030
hex9b8749c

163083420 has 144 divisors (see below), whose sum is σ = 519861888. Its totient is φ = 41333760.

The previous prime is 163083359. The next prime is 163083421. The reversal of 163083420 is 24380361.

It is a happy number.

163083420 is a `hidden beast` number, since 1 + 630 + 8 + 3 + 4 + 20 = 666.

163083420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163083421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312760 + ... + 313280.

It is an arithmetic number, because the mean of its divisors is an integer number (3610152).

Almost surely, 2163083420 is an apocalyptic number.

163083420 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 163083420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259930944).

163083420 is an abundant number, since it is smaller than the sum of its proper divisors (356778468).

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

163083420 is a wasteful number, since it uses less digits than its factorization.

163083420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 163083420 is about 12770.4118962546. The cubic root of 163083420 is about 546.3487286355.

The spelling of 163083420 in words is "one hundred sixty-three million, eighty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 47 60 74 90 94 111 141 148 180 185 188 222 235 282 333 370 423 444 470 521 555 564 666 705 740 846 940 1042 1110 1332 1410 1563 1665 1692 1739 2084 2115 2220 2605 2820 3126 3330 3478 4230 4689 5210 5217 6252 6660 6956 7815 8460 8695 9378 10420 10434 15630 15651 17390 18756 19277 20868 23445 24487 26085 31260 31302 34780 38554 46890 48974 52170 57831 62604 73461 77108 78255 93780 96385 97948 104340 115662 122435 146922 156510 173493 192770 220383 231324 244870 289155 293844 313020 346986 367305 385540 440766 489740 578310 693972 734610 867465 881532 906019 1101915 1156620 1469220 1734930 1812038 2203830 2718057 3469860 3624076 4407660 4530095 5436114 8154171 9060190 10872228 13590285 16308342 18120380 27180570 32616684 40770855 54361140 81541710 163083420