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1453312120 = 235132214987
BaseRepresentation
bin101011010011111…
…1100100001111000
310202021122220102211
41112213330201320
510434021441440
6400113304504
751004643401
oct12647744170
93667586384
101453312120
116863a19a7
12346865134
131a2126600
14db02c9a8
15878c5eea
hex569fc878

1453312120 has 48 divisors (see below), whose sum is σ = 3540852360. Its totient is φ = 536605056.

The previous prime is 1453312093. The next prime is 1453312123. The reversal of 1453312120 is 212133541.

It is a happy number.

It is a super-2 number, since 2×14533121202 = 4224232236277788800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1453312091 and 1453312100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453312123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100734 + ... + 114253.

Almost surely, 21453312120 is an apocalyptic number.

1453312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1453312120 is an abundant number, since it is smaller than the sum of its proper divisors (2087540240).

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

1453312120 is a wasteful number, since it uses less digits than its factorization.

1453312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215024 (or 215007 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1453312120 is about 38122.3309885427. The cubic root of 1453312120 is about 1132.7123399209.

Adding to 1453312120 its reverse (212133541), we get a palindrome (1665445661).

The spelling of 1453312120 in words is "one billion, four hundred fifty-three million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 214987 429974 859948 1074935 1719896 2149870 2794831 4299740 5589662 8599480 11179324 13974155 22358648 27948310 36332803 55896620 72665606 111793240 145331212 181664015 290662424 363328030 726656060 1453312120