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103742040 = 23352773121
BaseRepresentation
bin1100010111011…
…11101001011000
321020012122022210
412023233221120
5203024221130
614143315120
72366535633
oct613575130
9236178283
10103742040
1153617a26
122a8abaa0
1318653b2c
14dac6c1a
1591935b0
hex62efa58

103742040 has 64 divisors (see below), whose sum is σ = 312449760. Its totient is φ = 27555840.

The previous prime is 103742039. The next prime is 103742069. The reversal of 103742040 is 40247301.

It is a junction number, because it is equal to n+sod(n) for n = 103741998 and 103742016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31680 + ... + 34800.

Almost surely, 2103742040 is an apocalyptic number.

103742040 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 103742040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156224880).

103742040 is an abundant number, since it is smaller than the sum of its proper divisors (208707720).

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

103742040 is a wasteful number, since it uses less digits than its factorization.

103742040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 103742040 is about 10185.3836452045. The cubic root of 103742040 is about 469.8778013384.

Adding to 103742040 its reverse (40247301), we get a palindrome (143989341).

The spelling of 103742040 in words is "one hundred three million, seven hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 831 1108 1385 1662 2216 2770 3121 3324 4155 5540 6242 6648 8310 9363 11080 12484 15605 16620 18726 24968 31210 33240 37452 46815 62420 74904 93630 124840 187260 374520 864517 1729034 2593551 3458068 4322585 5187102 6916136 8645170 10374204 12967755 17290340 20748408 25935510 34580680 51871020 103742040