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102094020 = 2235573001
BaseRepresentation
bin1100001010111…
…01010011000100
321010002220200000
412011131103010
5202114002040
614044121300
72346533130
oct605352304
9233086600
10102094020
11526a1826
122a236230
13181c7982
14d7b83c0
158e6a130
hex615d4c4

102094020 has 144 divisors (see below), whose sum is σ = 367156608. Its totient is φ = 23328000.

The previous prime is 102094009. The next prime is 102094043. The reversal of 102094020 is 20490201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102093984 and 102094002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32520 + ... + 35520.

Almost surely, 2102094020 is an apocalyptic number.

102094020 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 102094020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183578304).

102094020 is an abundant number, since it is smaller than the sum of its proper divisors (265062588).

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

102094020 is a wasteful number, since it uses less digits than its factorization.

102094020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102094020 is about 10104.1585498249. The cubic root of 102094020 is about 467.3763883392.

The spelling of 102094020 in words is "one hundred two million, ninety-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3001 3402 3780 4860 5670 6002 6804 8505 9003 11340 12004 15005 17010 18006 21007 27009 30010 34020 36012 42014 45015 54018 60020 63021 81027 84028 90030 105035 108036 126042 135045 162054 180060 189063 210070 243081 252084 270090 315105 324108 378126 405135 420140 486162 540180 567189 630210 729243 756252 810270 945315 972324 1134378 1215405 1260420 1458486 1620540 1701567 1890630 2268756 2430810 2835945 2916972 3403134 3646215 3781260 4861620 5104701 5671890 6806268 7292430 8507835 10209402 11343780 14584860 17015670 20418804 25523505 34031340 51047010 102094020