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30998160 = 24335113127
BaseRepresentation
bin111011000111…
…1111010010000
32011022212111000
41312033322100
530413420120
63024222000
7524323434
oct166177220
964285430
1030998160
1116552416
12a46a900
13656440b
14418c9c4
152ac4990
hex1d8fe90

30998160 has 160 divisors (see below), whose sum is σ = 108564480. Its totient is φ = 8128512.

The previous prime is 30998131. The next prime is 30998161. The reversal of 30998160 is 6189903.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30998161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244017 + ... + 244143.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 230998160 is an apocalyptic number.

30998160 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 30998160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54282240).

30998160 is an abundant number, since it is smaller than the sum of its proper divisors (77566320).

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

30998160 is a wasteful number, since it uses less digits than its factorization.

30998160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 30998160 is about 5567.5991235002. The cubic root of 30998160 is about 314.1318499114.

The spelling of 30998160 in words is "thirty million, nine hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 113 120 127 135 144 180 216 226 240 254 270 339 360 381 432 452 508 540 565 635 678 720 762 904 1016 1017 1080 1130 1143 1270 1356 1524 1695 1808 1905 2032 2034 2160 2260 2286 2540 2712 3048 3051 3390 3429 3810 4068 4520 4572 5080 5085 5424 5715 6096 6102 6780 6858 7620 8136 9040 9144 10160 10170 11430 12204 13560 13716 14351 15240 15255 16272 17145 18288 20340 22860 24408 27120 27432 28702 30480 30510 34290 40680 43053 45720 48816 54864 57404 61020 68580 71755 81360 86106 91440 114808 122040 129159 137160 143510 172212 215265 229616 244080 258318 274320 287020 344424 387477 430530 516636 574040 645795 688848 774954 861060 1033272 1148080 1291590 1549908 1722120 1937385 2066544 2583180 3099816 3444240 3874770 5166360 6199632 7749540 10332720 15499080 30998160