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27023920 = 24571141107
BaseRepresentation
bin110011100010…
…1101000110000
31212211221211221
41213011220300
523404231140
62403114424
7445461640
oct147055060
955757757
1027023920
1114288520
129072a14
1357a24b1
143836520
15258c14a
hex19c5a30

27023920 has 160 divisors (see below), whose sum is σ = 80994816. Its totient is φ = 8140800.

The previous prime is 27023903. The next prime is 27023923. The reversal of 27023920 is 2932072.

It is not an unprimeable number, because it can be changed into a prime (27023923) 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 31 ways as a sum of consecutive naturals, for example, 252507 + ... + 252613.

Almost surely, 227023920 is an apocalyptic number.

27023920 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 27023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40497408).

27023920 is an abundant number, since it is smaller than the sum of its proper divisors (53970896).

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

27023920 is a wasteful number, since it uses less digits than its factorization.

27023920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 27023920 is about 5198.4536162209. The cubic root of 27023920 is about 300.0885664433.

Adding to 27023920 its reverse (2932072), we get a palindrome (29955992).

The spelling of 27023920 in words is "twenty-seven million, twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 41 44 55 56 70 77 80 82 88 107 110 112 140 154 164 176 205 214 220 280 287 308 328 385 410 428 440 451 535 560 574 616 656 749 770 820 856 880 902 1070 1148 1177 1232 1435 1498 1540 1640 1712 1804 2140 2255 2296 2354 2870 2996 3080 3157 3280 3608 3745 4280 4387 4510 4592 4708 5740 5885 5992 6160 6314 7216 7490 8239 8560 8774 9020 9416 11480 11770 11984 12628 14980 15785 16478 17548 18040 18832 21935 22960 23540 25256 29960 30709 31570 32956 35096 36080 41195 43870 47080 48257 50512 59920 61418 63140 65912 70192 82390 87740 94160 96514 122836 126280 131824 153545 164780 175480 193028 241285 245672 252560 307090 329560 337799 350960 386056 482570 491344 614180 659120 675598 772112 965140 1228360 1351196 1688995 1930280 2456720 2702392 3377990 3860560 5404784 6755980 13511960 27023920