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30142020 = 223517291019
BaseRepresentation
bin111001011111…
…0111001000100
32002201101002010
41302332321010
530204021040
62554014220
7514126416
oct162767104
962641063
1030142020
1116018167
12a117370
13632481c
1440089b6
1529a5e80
hex1cbee44

30142020 has 96 divisors (see below), whose sum is σ = 92534400. Its totient is φ = 7297024.

The previous prime is 30142009. The next prime is 30142039. The reversal of 30142020 is 2024103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30141987 and 30142005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29071 + ... + 30089.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 230142020 is an apocalyptic number.

30142020 is a gapful number since it is divisible by the number (30) 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 30142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267200).

30142020 is an abundant number, since it is smaller than the sum of its proper divisors (62392380).

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

30142020 is a wasteful number, since it uses less digits than its factorization.

30142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 30142020 is about 5490.1748606033. The cubic root of 30142020 is about 311.2128001863.

Adding to 30142020 its reverse (2024103), we get a palindrome (32166123).

The spelling of 30142020 in words is "thirty million, one hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1019 1020 1479 1740 1972 2038 2465 2958 3057 4076 4930 5095 5916 6114 7395 9860 10190 12228 14790 15285 17323 20380 29551 29580 30570 34646 51969 59102 61140 69292 86615 88653 103938 118204 147755 173230 177306 207876 259845 295510 346460 354612 443265 502367 519690 591020 886530 1004734 1039380 1507101 1773060 2009468 2511835 3014202 5023670 6028404 7535505 10047340 15071010 30142020