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30077124 = 22371143757
BaseRepresentation
bin111001010111…
…1000011000100
32002121002001120
41302233003010
530144431444
62552353540
7513436260
oct162570304
962532046
1030077124
1115a83430
12a0a58b0
13630111c
143dcd0a0
152991b19
hex1caf0c4

30077124 has 96 divisors (see below), whose sum is σ = 89650176. Its totient is φ = 7620480.

The previous prime is 30077119. The next prime is 30077143. The reversal of 30077124 is 42177003.

It is a super-2 number, since 2×300771242 = 1809266776222752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30077094 and 30077103.

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, 39354 + ... + 40110.

It is an arithmetic number, because the mean of its divisors is an integer number (933856).

Almost surely, 230077124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30077124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44825088).

30077124 is an abundant number, since it is smaller than the sum of its proper divisors (59573052).

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

30077124 is a wasteful number, since it uses less digits than its factorization.

30077124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 30077124 is about 5484.2614817312. The cubic root of 30077124 is about 310.9892918567.

The spelling of 30077124 in words is "thirty million, seventy-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 43 44 66 77 84 86 129 132 154 172 231 258 301 308 462 473 516 602 757 903 924 946 1204 1419 1514 1806 1892 2271 2838 3028 3311 3612 4542 5299 5676 6622 8327 9084 9933 10598 13244 15897 16654 19866 21196 24981 31794 32551 33308 39732 49962 58289 63588 65102 97653 99924 116578 130204 174867 195306 227857 233156 349734 358061 390612 455714 683571 699468 716122 911428 1074183 1367142 1432244 2148366 2506427 2734284 4296732 5012854 7519281 10025708 15038562 30077124