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30469140 = 223251329449
BaseRepresentation
bin111010000111…
…0110000010100
32010022222210200
41310032300110
530300003030
63005020500
7516661212
oct164166024
963288720
1030469140
1116220a09
12a254730
13640a6a0
144091cb2
152a1cd60
hex1d0ec14

30469140 has 144 divisors (see below), whose sum is σ = 103194000. Its totient is φ = 7225344.

The previous prime is 30469139. The next prime is 30469157. The reversal of 30469140 is 4196403.

It can be written as a sum of positive squares in 8 ways, for example, as 1179396 + 29289744 = 1086^2 + 5412^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67636 + ... + 68084.

It is an arithmetic number, because the mean of its divisors is an integer number (716625).

Almost surely, 230469140 is an apocalyptic number.

30469140 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 30469140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51597000).

30469140 is an abundant number, since it is smaller than the sum of its proper divisors (72724860).

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

30469140 is a wasteful number, since it uses less digits than its factorization.

30469140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30469140 is about 5519.8858683853. The cubic root of 30469140 is about 312.3345769815.

The spelling of 30469140 in words is "thirty million, four hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 449 468 522 580 585 754 780 870 898 1044 1131 1170 1305 1347 1508 1740 1796 1885 2245 2262 2340 2610 2694 3393 3770 4041 4490 4524 5220 5388 5655 5837 6735 6786 7540 8082 8980 11310 11674 13021 13470 13572 16164 16965 17511 20205 22620 23348 26042 26940 29185 33930 35022 39063 40410 52084 52533 58370 65105 67860 70044 78126 80820 87555 105066 116740 117189 130210 156252 169273 175110 195315 210132 234378 260420 262665 338546 350220 390630 468756 507819 525330 585945 677092 781260 846365 1015638 1050660 1171890 1523457 1692730 2031276 2343780 2539095 3046914 3385460 5078190 6093828 7617285 10156380 15234570 30469140