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101383760 = 2451267297
BaseRepresentation
bin1100000101011…
…11111001010000
321001202211101002
412002233321100
5201423240020
614021001132
72340514322
oct602577120
9231684332
10101383760
1152257135
1229b531a8
13180095ba
14d671612
158d79975
hex60afe50

101383760 has 20 divisors (see below), whose sum is σ = 235717428. Its totient is φ = 40553472.

The previous prime is 101383759. The next prime is 101383783. The reversal of 101383760 is 67383101.

It can be written as a sum of positive squares in 2 ways, for example, as 30958096 + 70425664 = 5564^2 + 8392^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 633569 + ... + 633728.

Almost surely, 2101383760 is an apocalyptic number.

101383760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101383760 is an abundant number, since it is smaller than the sum of its proper divisors (134333668).

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

101383760 is a wasteful number, since it uses less digits than its factorization.

101383760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267310 (or 1267304 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 101383760 is about 10068.9502928558. The cubic root of 101383760 is about 466.2900317101.

The spelling of 101383760 in words is "one hundred one million, three hundred eighty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1267297 2534594 5069188 6336485 10138376 12672970 20276752 25345940 50691880 101383760