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253445360 = 24571014481
BaseRepresentation
bin11110001101101…
…00010011110000
3122122220100200012
433012310103300
51004340222420
641052114052
76165151520
oct1706642360
9578810605
10253445360
11120077283
1270a65928
134067a98c
1425935680
15173b4dc5
hexf1b44f0

253445360 has 80 divisors (see below), whose sum is σ = 680260032. Its totient is φ = 86016000.

The previous prime is 253445359. The next prime is 253445369. The reversal of 253445360 is 63544352.

253445360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253445369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54320 + ... + 58800.

Almost surely, 2253445360 is an apocalyptic number.

253445360 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 253445360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340130016).

253445360 is an abundant number, since it is smaller than the sum of its proper divisors (426814672).

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

253445360 is a wasteful number, since it uses less digits than its factorization.

253445360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 253445360 is about 15919.9673366499. The cubic root of 253445360 is about 632.8412527321.

The spelling of 253445360 in words is "two hundred fifty-three million, four hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 101 112 140 202 280 404 505 560 707 808 1010 1414 1616 2020 2828 3535 4040 4481 5656 7070 8080 8962 11312 14140 17924 22405 28280 31367 35848 44810 56560 62734 71696 89620 125468 156835 179240 250936 313670 358480 452581 501872 627340 905162 1254680 1810324 2262905 2509360 3168067 3620648 4525810 6336134 7241296 9051620 12672268 15840335 18103240 25344536 31680670 36206480 50689072 63361340 126722680 253445360