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30120804 = 22327177989
BaseRepresentation
bin111001011100…
…1101101100100
32002200021222100
41302321231210
530202331204
62553332100
7514010520
oct162715544
962607870
1030120804
111600322a
12a107030
136317c7c
144000d80
15299ea39
hex1cb9b64

30120804 has 144 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 7907328.

The previous prime is 30120803. The next prime is 30120817. The reversal of 30120804 is 40802103.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (30120803) 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, 338392 + ... + 338480.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 230120804 is an apocalyptic number.

30120804 is a gapful number since it is divisible by the number (34) 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 30120804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

30120804 is an abundant number, since it is smaller than the sum of its proper divisors (64227996).

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

30120804 is a wasteful number, since it uses less digits than its factorization.

30120804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 30120804 is about 5488.2423415881. The cubic root of 30120804 is about 311.1397654824.

Adding to 30120804 its reverse (40802103), we get a palindrome (70922907).

The spelling of 30120804 in words is "thirty million, one hundred twenty thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 79 84 89 102 119 126 153 158 178 204 237 238 252 267 306 316 356 357 474 476 534 553 612 623 711 714 801 948 1068 1071 1106 1246 1343 1422 1428 1513 1602 1659 1869 2142 2212 2492 2686 2844 3026 3204 3318 3738 4029 4284 4539 4977 5372 5607 6052 6636 7031 7476 8058 9078 9401 9954 10591 11214 12087 13617 14062 16116 18156 18802 19908 21093 21182 22428 24174 27234 28124 28203 31773 37604 42186 42364 48348 49217 54468 56406 63279 63546 84372 84609 95319 98434 112812 119527 126558 127092 147651 169218 190638 196868 239054 253116 295302 338436 358581 381276 442953 478108 590604 717162 836689 885906 1075743 1434324 1673378 1771812 2151486 2510067 3346756 4302972 5020134 7530201 10040268 15060402 30120804