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1253539920 = 24355223083
BaseRepresentation
bin100101010110111…
…1000000001010000
310020100202102111110
41022231320001100
510031401234140
6324215413320
743030625223
oct11255700120
93210672443
101253539920
11593655106
122ab984240
1316c91bbc9
14bc6a95ba
15750b4380
hex4ab78050

1253539920 has 40 divisors (see below), whose sum is σ = 3885974496. Its totient is φ = 334277248.

The previous prime is 1253539907. The next prime is 1253539921. The reversal of 1253539920 is 299353521.

It is a happy number.

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

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253539921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2611302 + ... + 2611781.

Almost surely, 21253539920 is an apocalyptic number.

1253539920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253539920 is an abundant number, since it is smaller than the sum of its proper divisors (2632434576).

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

1253539920 is a wasteful number, since it uses less digits than its factorization.

1253539920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223099 (or 5223093 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 1253539920 is about 35405.3656950468. The cubic root of 1253539920 is about 1078.2332568126.

The spelling of 1253539920 in words is "one billion, two hundred fifty-three million, five hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5223083 10446166 15669249 20892332 26115415 31338498 41784664 52230830 62676996 78346245 83569328 104461660 125353992 156692490 208923320 250707984 313384980 417846640 626769960 1253539920