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30545100 = 223652419
BaseRepresentation
bin111010010000…
…1010011001100
32010110212000000
41310201103030
530304420400
63010404300
7520425525
oct164412314
963425000
1030545100
1116272a93
12a290690
136436131
1440b184c
152a35600
hex1d214cc

30545100 has 126 divisors (see below), whose sum is σ = 99616020. Its totient is φ = 8125920.

The previous prime is 30545051. The next prime is 30545101. The reversal of 30545100 is 154503.

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 (30545101) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 72691 + ... + 73109.

Almost surely, 230545100 is an apocalyptic number.

30545100 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 30545100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49808010).

30545100 is an abundant number, since it is smaller than the sum of its proper divisors (69070920).

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

30545100 is a wasteful number, since it uses less digits than its factorization.

30545100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 30545100 is about 5526.7621624239. The cubic root of 30545100 is about 312.5939131076.

Adding to 30545100 its reverse (154503), we get a palindrome (30699603).

The spelling of 30545100 in words is "thirty million, five hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 419 450 486 540 675 729 810 838 900 972 1215 1257 1350 1458 1620 1676 2025 2095 2430 2514 2700 2916 3645 3771 4050 4190 4860 5028 6075 6285 7290 7542 8100 8380 10475 11313 12150 12570 14580 15084 18225 18855 20950 22626 24300 25140 31425 33939 36450 37710 41900 45252 56565 62850 67878 72900 75420 94275 101817 113130 125700 135756 169695 188550 203634 226260 282825 305451 339390 377100 407268 509085 565650 610902 678780 848475 1018170 1131300 1221804 1527255 1696950 2036340 2545425 3054510 3393900 5090850 6109020 7636275 10181700 15272550 30545100