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253061520 = 24351054423
BaseRepresentation
bin11110001010101…
…10100110010000
3122122011212010220
433011112212100
51004240432040
641035553040
76161662455
oct1705264620
9578155126
10253061520
1111a934958
12708bb780
134057505a
142587582c
151733b2d0
hexf156990

253061520 has 40 divisors (see below), whose sum is σ = 784491456. Its totient is φ = 67483008.

The previous prime is 253061491. The next prime is 253061521. The reversal of 253061520 is 25160352.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (253061521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526972 + ... + 527451.

Almost surely, 2253061520 is an apocalyptic number.

253061520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253061520 is an abundant number, since it is smaller than the sum of its proper divisors (531429936).

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

253061520 is a wasteful number, since it uses less digits than its factorization.

253061520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054439 (or 1054433 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 253061520 is about 15907.9074676715. The cubic root of 253061520 is about 632.5216144509.

The spelling of 253061520 in words is "two hundred fifty-three million, sixty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1054423 2108846 3163269 4217692 5272115 6326538 8435384 10544230 12653076 15816345 16870768 21088460 25306152 31632690 42176920 50612304 63265380 84353840 126530760 253061520