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1453310540 = 2251118136497
BaseRepresentation
bin101011010011111…
…1100001001001100
310202021122211021022
41112213330021030
510434021414130
6400113253312
751004635653
oct12647741114
93667584238
101453310540
116863a07a0
12346864238
131a2125986
14db02c19a
15878c57e5
hex569fc24c

1453310540 has 48 divisors (see below), whose sum is σ = 3347888544. Its totient is φ = 525542400.

The previous prime is 1453310539. The next prime is 1453310557. The reversal of 1453310540 is 450133541.

It is a super-2 number, since 2×14533105402 = 4224223051350183200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21572 + ... + 58068.

It is an arithmetic number, because the mean of its divisors is an integer number (69747678).

Almost surely, 21453310540 is an apocalyptic number.

1453310540 is a gapful number since it is divisible by the number (10) 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 1453310540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673944272).

1453310540 is an abundant number, since it is smaller than the sum of its proper divisors (1894578004).

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

1453310540 is a wasteful number, since it uses less digits than its factorization.

1453310540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36698 (or 36696 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1453310540 is about 38122.3102657748. The cubic root of 1453310540 is about 1132.7119294365.

The spelling of 1453310540 in words is "one billion, four hundred fifty-three million, three hundred ten thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 362 724 905 1810 1991 3620 3982 7964 9955 19910 36497 39820 72994 145988 182485 364970 401467 729940 802934 1605868 2007335 4014670 6605957 8029340 13211914 26423828 33029785 66059570 72665527 132119140 145331054 290662108 363327635 726655270 1453310540