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1025613640 = 235434011487
BaseRepresentation
bin111101001000011…
…001111101001000
32122110212120102101
4331020121331020
54100024114030
6245434243144
734262400142
oct7510317510
92573776371
101025613640
11486a28787
122475864b4
1313463779c
149a2d7c92
15600907ca
hex3d219f48

1025613640 has 64 divisors (see below), whose sum is σ = 2368776960. Its totient is φ = 399436800.

The previous prime is 1025613601. The next prime is 1025613643. The reversal of 1025613640 is 463165201.

1025613640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1025613599 and 1025613608.

It is not an unprimeable number, because it can be changed into a prime (1025613643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688977 + ... + 690463.

It is an arithmetic number, because the mean of its divisors is an integer number (37012140).

Almost surely, 21025613640 is an apocalyptic number.

1025613640 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 1025613640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184388480).

1025613640 is an abundant number, since it is smaller than the sum of its proper divisors (1343163320).

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

1025613640 is a wasteful number, since it uses less digits than its factorization.

1025613640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1025613640 is about 32025.2031999799. The cubic root of 1025613640 is about 1008.4660045057.

Adding to 1025613640 its reverse (463165201), we get a palindrome (1488778841).

The spelling of 1025613640 in words is "one billion, twenty-five million, six hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 401 430 802 860 1487 1604 1720 2005 2974 3208 4010 5948 7435 8020 11896 14870 16040 17243 29740 34486 59480 63941 68972 86215 127882 137944 172430 255764 319705 344860 511528 596287 639410 689720 1192574 1278820 2385148 2557640 2981435 4770296 5962870 11925740 23851480 25640341 51280682 102561364 128201705 205122728 256403410 512806820 1025613640