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101478740 = 225111014567
BaseRepresentation
bin1100000110001…
…11000101010100
321001221122122212
412003013011110
5201434304430
614023012552
72341361246
oct603070524
9231848585
10101478740
1152311530
1229b9a158
13180408bc
14d698096
158d97b95
hex60c7154

101478740 has 48 divisors (see below), whose sum is σ = 234831744. Its totient is φ = 36528000.

The previous prime is 101478733. The next prime is 101478787. The reversal of 101478740 is 47874101.

Added to its reverse (47874101) it gives a square (149352841 = 122212).

It is a junction number, because it is equal to n+sod(n) for n = 101478697 and 101478706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19937 + ... + 24503.

It is an arithmetic number, because the mean of its divisors is an integer number (4892328).

Almost surely, 2101478740 is an apocalyptic number.

101478740 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 101478740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117415872).

101478740 is an abundant number, since it is smaller than the sum of its proper divisors (133353004).

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

101478740 is a wasteful number, since it uses less digits than its factorization.

101478740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 101478740 is about 10073.6656684645. The cubic root of 101478740 is about 466.4355987586.

Adding to 101478740 its reverse (47874101), we get a square (149352841 = 122212).

The spelling of 101478740 in words is "one hundred one million, four hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 4567 5555 9134 11110 18268 22220 22835 45670 50237 91340 100474 200948 251185 461267 502370 922534 1004740 1845068 2306335 4612670 5073937 9225340 10147874 20295748 25369685 50739370 101478740