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27997900 = 22527233747
BaseRepresentation
bin110101011001…
…1011011001100
31221200102220021
41222303123030
524131413100
62440031524
7456656350
oct152633314
957612807
1027997900
1114893267
1294625a4
135a53908
143a0b460
1526d0a1a
hex1ab36cc

27997900 has 144 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 8743680.

The previous prime is 27997891. The next prime is 27997901. The reversal of 27997900 is 979972.

It is not an unprimeable number, because it can be changed into a prime (27997901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595677 + ... + 595723.

It is an arithmetic number, because the mean of its divisors is an integer number (527744).

Almost surely, 227997900 is an apocalyptic number.

27997900 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 27997900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

27997900 is an abundant number, since it is smaller than the sum of its proper divisors (47997236).

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

27997900 is a wasteful number, since it uses less digits than its factorization.

27997900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 43.

The square root of 27997900 is about 5291.3041870601. The cubic root of 27997900 is about 303.6513055253.

The spelling of 27997900 in words is "twenty-seven million, nine hundred ninety-seven thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 37 46 47 50 70 74 92 94 100 115 140 148 161 175 185 188 230 235 259 322 329 350 370 460 470 518 575 644 658 700 740 805 851 925 940 1036 1081 1150 1175 1295 1316 1610 1645 1702 1739 1850 2162 2300 2350 2590 3220 3290 3404 3478 3700 4025 4255 4324 4700 5180 5405 5957 6475 6580 6956 7567 8050 8225 8510 8695 10810 11914 12173 12950 15134 16100 16450 17020 17390 21275 21620 23828 24346 25900 27025 29785 30268 32900 34780 37835 39997 42550 43475 48692 54050 59570 60865 75670 79994 85100 86950 108100 119140 121730 148925 151340 159988 173900 189175 199985 243460 279979 297850 304325 378350 399970 559958 595700 608650 756700 799940 999925 1119916 1217300 1399895 1999850 2799790 3999700 5599580 6999475 13998950 27997900