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1101420040 = 235721134973
BaseRepresentation
bin100000110100110…
…0101011000001000
32211202111221020211
41001221211120020
54223430420130
6301143130504
736202626100
oct10151453010
92752457224
101101420040
115157a51a6
12268a43a34
1314725a146
14a63cc200
1566a66a2a
hex41a65608

1101420040 has 96 divisors (see below), whose sum is σ = 2908894680. Its totient is φ = 374212608.

The previous prime is 1101420037. The next prime is 1101420041. The reversal of 1101420040 is 400241011.

It can be written as a sum of positive squares in 4 ways, for example, as 628705476 + 472714564 = 25074^2 + 21742^2 .

It is a super-2 number, since 2×11014200402 = 2426252209027203200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1101420040.

It is not an unprimeable number, because it can be changed into a prime (1101420041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 218994 + ... + 223966.

Almost surely, 21101420040 is an apocalyptic number.

1101420040 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 1101420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454447340).

1101420040 is an abundant number, since it is smaller than the sum of its proper divisors (1807474640).

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

1101420040 is a wasteful number, since it uses less digits than its factorization.

1101420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1101420040 is about 33187.6489073872. The cubic root of 1101420040 is about 1032.7241302192.

Adding to 1101420040 its reverse (400241011), we get a palindrome (1501661051).

The spelling of 1101420040 in words is "one billion, one hundred one million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 113 140 196 226 245 280 392 452 490 565 791 904 980 1130 1582 1960 2260 3164 3955 4520 4973 5537 6328 7910 9946 11074 15820 19892 22148 24865 27685 31640 34811 39784 44296 49730 55370 69622 99460 110740 139244 174055 198920 221480 243677 278488 348110 487354 561949 696220 974708 1123898 1218385 1392440 1949416 2247796 2436770 2809745 3933643 4495592 4873540 5619490 7867286 9747080 11238980 15734572 19668215 22477960 27535501 31469144 39336430 55071002 78672860 110142004 137677505 157345720 220284008 275355010 550710020 1101420040