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30998100 = 22352729509
BaseRepresentation
bin111011000111…
…1111001010100
32011022212101210
41312033321110
530413414400
63024221420
7524323320
oct166177124
964285353
1030998100
1116552371
12a46a870
136564393
14418c980
152ac4950
hex1d8fe54

30998100 has 144 divisors (see below), whose sum is σ = 106243200. Its totient is φ = 6827520.

The previous prime is 30998083. The next prime is 30998111. The reversal of 30998100 is 189903.

It is a happy number.

It is a super-2 number, since 2×309981002 = 1921764407220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60646 + ... + 61154.

It is an arithmetic number, because the mean of its divisors is an integer number (737800).

Almost surely, 230998100 is an apocalyptic number.

30998100 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 30998100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

30998100 is an abundant number, since it is smaller than the sum of its proper divisors (75245100).

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

30998100 is a wasteful number, since it uses less digits than its factorization.

30998100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 30998100 is about 5567.5937351786. The cubic root of 30998100 is about 314.1316472336.

The spelling of 30998100 in words is "thirty million, nine hundred ninety-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 509 525 580 609 700 725 812 870 1015 1018 1050 1218 1450 1527 1740 2030 2036 2100 2175 2436 2545 2900 3045 3054 3563 4060 4350 5075 5090 6090 6108 7126 7635 8700 10150 10180 10689 12180 12725 14252 14761 15225 15270 17815 20300 21378 25450 29522 30450 30540 35630 38175 42756 44283 50900 53445 59044 60900 71260 73805 76350 88566 89075 103327 106890 147610 152700 177132 178150 206654 213780 221415 267225 295220 309981 356300 369025 413308 442830 516635 534450 619962 738050 885660 1033270 1068900 1107075 1239924 1476100 1549905 2066540 2214150 2583175 3099810 4428300 5166350 6199620 7749525 10332700 15499050 30998100