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251063340 = 2235111920021
BaseRepresentation
bin11101111011011…
…10110000101100
3122111102100011020
432331232300230
51003233011330
640525054140
76136001043
oct1675566054
9574370136
10251063340
1111979a670
12700b7350
13400256b8
14254b555a
1517094210
hexef6ec2c

251063340 has 96 divisors (see below), whose sum is σ = 807287040. Its totient is φ = 57657600.

The previous prime is 251063333. The next prime is 251063347. The reversal of 251063340 is 43360152.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (251063333) and next prime (251063347).

It is a self number, because there is not a number n which added to its sum of digits gives 251063340.

It is not an unprimeable number, because it can be changed into a prime (251063347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2530 + ... + 22550.

It is an arithmetic number, because the mean of its divisors is an integer number (8409240).

Almost surely, 2251063340 is an apocalyptic number.

251063340 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 251063340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403643520).

251063340 is an abundant number, since it is smaller than the sum of its proper divisors (556223700).

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

251063340 is a wasteful number, since it uses less digits than its factorization.

251063340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20063 (or 20061 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 251063340 is about 15844.9783843336. The cubic root of 251063340 is about 630.8524112684.

The spelling of 251063340 in words is "two hundred fifty-one million, sixty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 20021 40042 60063 80084 100105 120126 200210 220231 240252 300315 380399 400420 440462 600630 660693 760798 880924 1101155 1141197 1201260 1321386 1521596 1901995 2202310 2282394 2642772 3303465 3803990 4184389 4404620 4564788 5705985 6606930 7607980 8368778 11411970 12553167 13213860 16737556 20921945 22823940 25106334 41843890 50212668 62765835 83687780 125531670 251063340