Search a number
-
+
253720064 = 291338119
BaseRepresentation
bin11110001111101…
…11011000000000
3122200102022111102
433013313120000
51004423020224
641102033532
76200404433
oct1707673000
9580368442
10253720064
11120244704
1270b788a8
1340745a20
14259a781a
151741b4ae
hexf1f7600

253720064 has 40 divisors (see below), whose sum is σ = 545954640. Its totient is φ = 117098496.

The previous prime is 253720037. The next prime is 253720069. The reversal of 253720064 is 460027352.

253720064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253720069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12404 + ... + 25715.

It is an arithmetic number, because the mean of its divisors is an integer number (13648866).

Almost surely, 2253720064 is an apocalyptic number.

It is an amenable number.

253720064 is an abundant number, since it is smaller than the sum of its proper divisors (292234576).

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

253720064 is an equidigital number, since it uses as much as digits as its factorization.

253720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38150 (or 38134 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 253720064 is about 15928.5926559756. The cubic root of 253720064 is about 633.0698112041.

The spelling of 253720064 in words is "two hundred fifty-three million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 38119 76238 152476 304952 495547 609904 991094 1219808 1982188 2439616 3964376 4879232 7928752 9758464 15857504 19516928 31715008 63430016 126860032 253720064