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1025304040 = 235374316111
BaseRepresentation
bin111101000111001…
…110010111101000
32122110021211201201
4331013032113220
54044434212130
6245423453544
734256640415
oct7507162750
92573254651
101025304040
11486837112
122474572b4
131345598a7
149a25710c
156002dbca
hex3d1ce5e8

1025304040 has 64 divisors (see below), whose sum is σ = 2424533760. Its totient is φ = 389733120.

The previous prime is 1025304029. The next prime is 1025304041. The reversal of 1025304040 is 404035201.

It is a junction number, because it is equal to n+sod(n) for n = 1025303999 and 1025304017.

It is not an unprimeable number, because it can be changed into a prime (1025304041) by changing a digit.

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, 55585 + ... + 71695.

It is an arithmetic number, because the mean of its divisors is an integer number (37883340).

Almost surely, 21025304040 is an apocalyptic number.

1025304040 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 1025304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212266880).

1025304040 is an abundant number, since it is smaller than the sum of its proper divisors (1399229720).

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

1025304040 is a wasteful number, since it uses less digits than its factorization.

1025304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16202 (or 16198 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1025304040 is about 32020.3691421570. The cubic root of 1025304040 is about 1008.3645197345.

Adding to 1025304040 its reverse (404035201), we get a palindrome (1429339241).

The spelling of 1025304040 in words is "one billion, twenty-five million, three hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 43 74 86 148 172 185 215 296 344 370 430 740 860 1480 1591 1720 3182 6364 7955 12728 15910 16111 31820 32222 63640 64444 80555 128888 161110 322220 596107 644440 692773 1192214 1385546 2384428 2771092 2980535 3463865 4768856 5542184 5961070 6927730 11922140 13855460 23844280 25632601 27710920 51265202 102530404 128163005 205060808 256326010 512652020 1025304040