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27293120 = 26519672
BaseRepresentation
bin110100000011…
…1010111000000
31220100122010022
41220013113000
523441334440
62412553012
7450662531
oct150072700
956318108
1027293120
11144517a8
129182768
135867b9a
1438a6688
1525e1cb5
hex1a075c0

27293120 has 84 divisors (see below), whose sum is σ = 69448680. Its totient is φ = 10188288.

The previous prime is 27293107. The next prime is 27293141. The reversal of 27293120 is 2139272.

It is a self number, because there is not a number n which added to its sum of digits gives 27293120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 407327 + ... + 407393.

It is an arithmetic number, because the mean of its divisors is an integer number (826770).

Almost surely, 227293120 is an apocalyptic number.

27293120 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 27293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34724340).

27293120 is an abundant number, since it is smaller than the sum of its proper divisors (42155560).

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

27293120 is an equidigital number, since it uses as much as digits as its factorization.

27293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 27293120 is about 5224.2817688176. The cubic root of 27293120 is about 301.0817245152.

The spelling of 27293120 in words is "twenty-seven million, two hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 67 76 80 95 134 152 160 190 268 304 320 335 380 536 608 670 760 1072 1216 1273 1340 1520 2144 2546 2680 3040 4288 4489 5092 5360 6080 6365 8978 10184 10720 12730 17956 20368 21440 22445 25460 35912 40736 44890 50920 71824 81472 85291 89780 101840 143648 170582 179560 203680 287296 341164 359120 407360 426455 682328 718240 852910 1364656 1436480 1705820 2729312 3411640 5458624 6823280 13646560 27293120