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1061416040 = 235374715259
BaseRepresentation
bin111111010000111…
…110110001101000
32201222020112002012
4333100332301220
54133210303130
6253153455052
735205613256
oct7720766150
92658215065
101061416040
114a5161643
12257571488
1313bb91839
14a0d775d6
15632b3995
hex3f43ec68

1061416040 has 64 divisors (see below), whose sum is σ = 2505081600. Its totient is φ = 404275968.

The previous prime is 1061416033. The next prime is 1061416061. The reversal of 1061416040 is 406141601.

It is a super-2 number, since 2×10614160402 = 2253208019938563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1061415997 and 1061416015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61931 + ... + 77189.

It is an arithmetic number, because the mean of its divisors is an integer number (39141900).

Almost surely, 21061416040 is an apocalyptic number.

1061416040 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 1061416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252540800).

1061416040 is an abundant number, since it is smaller than the sum of its proper divisors (1443665560).

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

1061416040 is a wasteful number, since it uses less digits than its factorization.

1061416040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15354 (or 15350 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1061416040 is about 32579.3805957081. The cubic root of 1061416040 is about 1020.0666494959.

Adding to 1061416040 its reverse (406141601), we get a palindrome (1467557641).

The spelling of 1061416040 in words is "one billion, sixty-one million, four hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 47 74 94 148 185 188 235 296 370 376 470 740 940 1480 1739 1880 3478 6956 8695 13912 15259 17390 30518 34780 61036 69560 76295 122072 152590 305180 564583 610360 717173 1129166 1434346 2258332 2822915 2868692 3585865 4516664 5645830 5737384 7171730 11291660 14343460 22583320 26535401 28686920 53070802 106141604 132677005 212283208 265354010 530708020 1061416040