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1040542125 = 35371931673
BaseRepresentation
bin111110000001010…
…110100110101101
32200111222000110020
4332001112212231
54112334322000
6251130232353
734533314340
oct7601264655
92614860406
101040542125
114943a4777
122505856b9
131377636cc
149c2a2457
156153dba0
hex3e0569ad

1040542125 has 128 divisors (see below), whose sum is σ = 2153349120. Its totient is φ = 435456000.

The previous prime is 1040542123. The next prime is 1040542141. The reversal of 1040542125 is 5212450401.

It is not a de Polignac number, because 1040542125 - 21 = 1040542123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1040542095 and 1040542104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040542121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1545789 + ... + 1546461.

It is an arithmetic number, because the mean of its divisors is an integer number (16823040).

Almost surely, 21040542125 is an apocalyptic number.

1040542125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1040542125 is an abundant number, since it is smaller than the sum of its proper divisors (1112806995).

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

1040542125 is a wasteful number, since it uses less digits than its factorization.

1040542125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1040542125 is about 32257.4351894257. The cubic root of 1040542125 is about 1013.3354178046.

Adding to 1040542125 its reverse (5212450401), we get a palindrome (6252992526).

The spelling of 1040542125 in words is "one billion, forty million, five hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 31 35 57 75 93 95 105 125 133 155 175 217 285 375 399 465 475 525 589 651 665 673 775 875 1085 1425 1767 1995 2019 2325 2375 2625 2945 3255 3325 3365 3875 4123 4711 5425 7125 8835 9975 10095 11625 12369 12787 14133 14725 16275 16625 16825 20615 20863 23555 27125 38361 44175 49875 50475 61845 62589 63935 70665 73625 81375 84125 89509 103075 104315 117775 146041 191805 220875 252375 268527 309225 312945 319675 353325 396397 438123 447545 515375 521575 588875 730205 959025 1189191 1342635 1546125 1564725 1598375 1766625 1981985 2190615 2237725 2607875 2774779 3651025 4795125 5945955 6713175 7823625 8324337 9909925 10953075 11188625 13873895 18255125 29729775 33565875 41621685 49549625 54765375 69369475 148648875 208108425 346847375 1040542125