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253684780 = 22531267197
BaseRepresentation
bin11110001111011…
…10110000101100
3122200100112002121
433013232300230
51004420403110
641101202324
76200166526
oct1707566054
9580315077
10253684780
11120220148
1270b603a4
134073294b
1425998a16
1517410cda
hexf1eec2c

253684780 has 72 divisors (see below), whose sum is σ = 561529584. Its totient is φ = 96243840.

The previous prime is 253684771. The next prime is 253684793. The reversal of 253684780 is 87486352.

253684780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287642 + ... + 1287838.

It is an arithmetic number, because the mean of its divisors is an integer number (7799022).

Almost surely, 2253684780 is an apocalyptic number.

253684780 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 253684780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280764792).

253684780 is an abundant number, since it is smaller than the sum of its proper divisors (307844804).

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

253684780 is a wasteful number, since it uses less digits than its factorization.

253684780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 253684780 is about 15927.4850494358. The cubic root of 253684780 is about 633.0404635438.

The spelling of 253684780 in words is "two hundred fifty-three million, six hundred eighty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 67 124 134 155 197 268 310 335 394 620 670 788 961 985 1340 1922 1970 2077 3844 3940 4154 4805 6107 8308 9610 10385 12214 13199 19220 20770 24428 26398 30535 41540 52796 61070 64387 65995 122140 128774 131990 189317 257548 263980 321935 378634 409169 643870 757268 818338 946585 1287740 1636676 1893170 2045845 3786340 4091690 8183380 12684239 25368478 50736956 63421195 126842390 253684780