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30534120 = 2332589953
BaseRepresentation
bin111010001111…
…0100111101000
32010110021221100
41310132213220
530304042440
63010241400
7520351521
oct164364750
963407840
1030534120
1116265811
12a286260
136431136
1440ab848
152a32230
hex1d1e9e8

30534120 has 96 divisors (see below), whose sum is σ = 100456200. Its totient is φ = 8042496.

The previous prime is 30534109. The next prime is 30534137. The reversal of 30534120 is 2143503.

30534120 is a `hidden beast` number, since 305 + 341 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18714276 + 11819844 = 4326^2 + 3438^2 .

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 = 30534093 and 30534102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31564 + ... + 32516.

Almost surely, 230534120 is an apocalyptic number.

30534120 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 30534120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50228100).

30534120 is an abundant number, since it is smaller than the sum of its proper divisors (69922080).

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

30534120 is a wasteful number, since it uses less digits than its factorization.

30534120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30534120 is about 5525.7687248020. The cubic root of 30534120 is about 312.5564527346.

Adding to 30534120 its reverse (2143503), we get a palindrome (32677623).

The spelling of 30534120 in words is "thirty million, five hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 953 1068 1335 1602 1780 1906 2136 2670 2859 3204 3560 3812 4005 4765 5340 5718 6408 7624 8010 8577 9530 10680 11436 14295 16020 17154 19060 22872 28590 32040 34308 38120 42885 57180 68616 84817 85770 114360 169634 171540 254451 339268 343080 424085 508902 678536 763353 848170 1017804 1272255 1526706 1696340 2035608 2544510 3053412 3392680 3816765 5089020 6106824 7633530 10178040 15267060 30534120