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27421440 = 283537193
BaseRepresentation
bin110100010011…
…0101100000000
31220121011010220
41220212230000
524004441230
62415423040
7452035614
oct150465400
956534126
1027421440
111452a152
129224a80
1358b1407
1438db344
152619d10
hex1a26b00

27421440 has 144 divisors (see below), whose sum is σ = 90410208. Its totient is φ = 7077888.

The previous prime is 27421439. The next prime is 27421447. The reversal of 27421440 is 4412472.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 27421440.

It is not an unprimeable number, because it can be changed into a prime (27421447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141984 + ... + 142176.

Almost surely, 227421440 is an apocalyptic number.

27421440 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 27421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45205104).

27421440 is an abundant number, since it is smaller than the sum of its proper divisors (62988768).

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

27421440 is a wasteful number, since it uses less digits than its factorization.

27421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 27421440 is about 5236.5484815859. The cubic root of 27421440 is about 301.5528373415.

The spelling of 27421440 in words is "twenty-seven million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 193 222 240 256 296 320 370 384 386 444 480 555 579 592 640 740 768 772 888 960 965 1110 1158 1184 1280 1480 1544 1776 1920 1930 2220 2316 2368 2895 2960 3088 3552 3840 3860 4440 4632 4736 5790 5920 6176 7104 7141 7720 8880 9264 9472 11580 11840 12352 14208 14282 15440 17760 18528 21423 23160 23680 24704 28416 28564 30880 35520 35705 37056 42846 46320 47360 49408 57128 61760 71040 71410 74112 85692 92640 107115 114256 123520 142080 142820 148224 171384 185280 214230 228512 247040 285640 342768 370560 428460 457024 571280 685536 741120 856920 914048 1142560 1371072 1713840 1828096 2285120 2742144 3427680 4570240 5484288 6855360 9140480 13710720 27421440