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253278000 = 24325314071
BaseRepresentation
bin11110001100010…
…11011100110000
3122122120212002200
433012023130300
51004314344000
641044343200
76163553553
oct1706133460
9578525080
10253278000
1111aa72568
12709a4b00
134061c751
14258d069a
1517380500
hexf18b730

253278000 has 120 divisors (see below), whose sum is σ = 884678496. Its totient is φ = 67536000.

The previous prime is 253277993. The next prime is 253278007. The reversal of 253278000 is 872352.

253278000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253277993) and next prime (253278007).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (253278007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10965 + ... + 25035.

Almost surely, 2253278000 is an apocalyptic number.

253278000 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 253278000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442339248).

253278000 is an abundant number, since it is smaller than the sum of its proper divisors (631400496).

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

253278000 is a wasteful number, since it uses less digits than its factorization.

253278000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14100 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 253278000 is about 15914.7101764374. The cubic root of 253278000 is about 632.7019253529.

The spelling of 253278000 in words is "two hundred fifty-three million, two hundred seventy-eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 14071 18000 28142 42213 56284 70355 84426 112568 126639 140710 168852 211065 225136 253278 281420 337704 351775 422130 506556 562840 633195 675408 703550 844260 1013112 1055325 1125680 1266390 1407100 1688520 1758875 2026224 2110650 2532780 2814200 3165975 3377040 3517750 4221300 5065560 5276625 5628400 6331950 7035500 8442600 10131120 10553250 12663900 14071000 15829875 16885200 21106500 25327800 28142000 31659750 42213000 50655600 63319500 84426000 126639000 253278000