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252140000 = 255471801
BaseRepresentation
bin11110000011101…
…01100111100000
3122120110001001112
433001311213200
51004021440000
641004122452
76151104020
oct1701654740
9576401045
10252140000
1111a365572
1270536428
1340311788
14256b5a80
1517208235
hexf0759e0

252140000 has 120 divisors (see below), whose sum is σ = 709310448. Its totient is φ = 86400000.

The previous prime is 252139997. The next prime is 252140011. The reversal of 252140000 is 41252.

252140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139100 + ... + 140900.

Almost surely, 2252140000 is an apocalyptic number.

252140000 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 252140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354655224).

252140000 is an abundant number, since it is smaller than the sum of its proper divisors (457170448).

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

252140000 is an equidigital number, since it uses as much as digits as its factorization.

252140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 252140000 is about 15878.9168396336. The cubic root of 252140000 is about 631.7529077335.

Adding to 252140000 its reverse (41252), we get a palindrome (252181252).

The spelling of 252140000 in words is "two hundred fifty-two million, one hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 1801 2000 2500 2800 3500 3602 4000 4375 5000 5600 7000 7204 8750 9005 10000 12607 14000 14408 17500 18010 20000 25214 28000 28816 35000 36020 45025 50428 57632 63035 70000 72040 90050 100856 126070 140000 144080 180100 201712 225125 252140 288160 315175 360200 403424 450250 504280 630350 720400 900500 1008560 1125625 1260700 1440800 1575875 1801000 2017120 2251250 2521400 3151750 3602000 4502500 5042800 6303500 7204000 7879375 9005000 10085600 12607000 15758750 18010000 25214000 31517500 36020000 50428000 63035000 126070000 252140000