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27023100 = 2235213341
BaseRepresentation
bin110011100010…
…1011011111100
31212211220201120
41213011123330
523404214400
62403110540
7445456356
oct147053374
955756646
1027023100
1114287945
129072450
1357a2000
1438360d6
15258bca0
hex19c56fc

27023100 has 144 divisors (see below), whose sum is σ = 86765280. Its totient is φ = 6489600.

The previous prime is 27023083. The next prime is 27023123. The reversal of 27023100 is 132072.

It is a super-2 number, since 2×270231002 = 1460495867220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 27023100.

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, 659080 + ... + 659120.

Almost surely, 227023100 is an apocalyptic number.

27023100 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 27023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43382640).

27023100 is an abundant number, since it is smaller than the sum of its proper divisors (59742180).

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

27023100 is a wasteful number, since it uses less digits than its factorization.

27023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 27023100 is about 5198.3747460144. The cubic root of 27023100 is about 300.0855311680.

Adding to 27023100 its reverse (132072), we get a palindrome (27155172).

The spelling of 27023100 in words is "twenty-seven million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 41 50 52 60 65 75 78 82 100 123 130 150 156 164 169 195 205 246 260 300 325 338 390 410 492 507 533 615 650 676 780 820 845 975 1014 1025 1066 1230 1300 1599 1690 1950 2028 2050 2132 2197 2460 2535 2665 3075 3198 3380 3900 4100 4225 4394 5070 5330 6150 6396 6591 6929 7995 8450 8788 10140 10660 10985 12300 12675 13182 13325 13858 15990 16900 20787 21970 25350 26364 26650 27716 31980 32955 34645 39975 41574 43940 50700 53300 54925 65910 69290 79950 83148 90077 103935 109850 131820 138580 159900 164775 173225 180154 207870 219700 270231 329550 346450 360308 415740 450385 519675 540462 659100 692900 900770 1039350 1080924 1351155 1801540 2078700 2251925 2702310 4503850 5404620 6755775 9007700 13511550 27023100