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27244100 = 225213191103
BaseRepresentation
bin110011111101…
…1011001000100
31220021010212202
41213323121010
523433302400
62411534032
7450366602
oct147733104
956233782
1027244100
1114418994
12915a318
13584b790
143892872
1525d24d5
hex19fb644

27244100 has 72 divisors (see below), whose sum is σ = 67079040. Its totient is φ = 9521280.

The previous prime is 27244097. The next prime is 27244103. The reversal of 27244100 is 144272.

It is an interprime number because it is at equal distance from previous prime (27244097) and next prime (27244103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (27244103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24149 + ... + 25251.

Almost surely, 227244100 is an apocalyptic number.

27244100 is a gapful number since it is divisible by the number (20) 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 27244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33539520).

27244100 is an abundant number, since it is smaller than the sum of its proper divisors (39834940).

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

27244100 is a wasteful number, since it uses less digits than its factorization.

27244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 27244100 is about 5219.5881063548. The cubic root of 27244100 is about 300.9013631765.

Adding to 27244100 its reverse (144272), we get a palindrome (27388372).

The spelling of 27244100 in words is "twenty-seven million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1103 1235 1300 1900 2206 2470 4412 4940 5515 6175 11030 12350 14339 20957 22060 24700 27575 28678 41914 55150 57356 71695 83828 104785 110300 143390 209570 272441 286780 358475 419140 523925 544882 716950 1047850 1089764 1362205 1433900 2095700 2724410 5448820 6811025 13622050 27244100