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53406100 = 225211471033
BaseRepresentation
bin1100101110111…
…0100110010100
310201111022101201
43023232212110
5102132443400
65144402244
71215641626
oct313564624
9121438351
1053406100
1128167880
1215a76384
13b0ab857
147142c16
154a4e06a
hex32ee994

53406100 has 72 divisors (see below), whose sum is σ = 129241728. Its totient is φ = 18988800.

The previous prime is 53406091. The next prime is 53406121. The reversal of 53406100 is 160435.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51184 + ... + 52216.

It is an arithmetic number, because the mean of its divisors is an integer number (1795024).

Almost surely, 253406100 is an apocalyptic number.

53406100 is a gapful number since it is divisible by the number (50) 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 53406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64620864).

53406100 is an abundant number, since it is smaller than the sum of its proper divisors (75835628).

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

53406100 is a wasteful number, since it uses less digits than its factorization.

53406100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 53406100 is about 7307.9477283298. The cubic root of 53406100 is about 376.5855238931.

Adding to 53406100 its reverse (160435), we get a palindrome (53566535).

The spelling of 53406100 in words is "fifty-three million, four hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1033 1034 1100 1175 2066 2068 2350 2585 4132 4700 5165 5170 10330 10340 11363 12925 20660 22726 25825 25850 45452 48551 51650 51700 56815 97102 103300 113630 194204 227260 242755 284075 485510 534061 568150 971020 1068122 1136300 1213775 2136244 2427550 2670305 4855100 5340610 10681220 13351525 26703050 53406100