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101453960 = 23517149197
BaseRepresentation
bin1100000110000…
…01000010001000
321001220101200002
412003001002020
5201433011320
614022302132
72341226066
oct603010210
9231811602
10101453960
11522a4953
1229b87948
131803253a
14d68d036
158d90675
hex60c1088

101453960 has 32 divisors (see below), whose sum is σ = 241700760. Its totient is φ = 38194176.

The previous prime is 101453929. The next prime is 101453987. The reversal of 101453960 is 69354101.

It can be written as a sum of positive squares in 4 ways, for example, as 65189476 + 36264484 = 8074^2 + 6022^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73919 + ... + 75278.

Almost surely, 2101453960 is an apocalyptic number.

101453960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101453960 is an abundant number, since it is smaller than the sum of its proper divisors (140246800).

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

101453960 is a wasteful number, since it uses less digits than its factorization.

101453960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149225 (or 149221 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 101453960 is about 10072.4356538029. The cubic root of 101453960 is about 466.3976295082.

The spelling of 101453960 in words is "one hundred one million, four hundred fifty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 149197 298394 596788 745985 1193576 1491970 2536349 2983940 5072698 5967880 10145396 12681745 20290792 25363490 50726980 101453960