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1025495040 = 2123516691
BaseRepresentation
bin111101000111111…
…101000000000000
32122110122112201210
4331013331000000
54100011320130
6245431530120
734261364313
oct7507750000
92573575653
101025495040
11486957669
12247529940
131345c57cb
149a2a697a
156006a5b0
hex3d1fd000

1025495040 has 104 divisors (see below), whose sum is σ = 3281380128. Its totient is φ = 273448960.

The previous prime is 1025495027. The next prime is 1025495047. The reversal of 1025495040 is 405945201.

1025495040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1025494989 and 1025495007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025495047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53095 + ... + 69785.

It is an arithmetic number, because the mean of its divisors is an integer number (31551732).

Almost surely, 21025495040 is an apocalyptic number.

1025495040 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 1025495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640690064).

1025495040 is an abundant number, since it is smaller than the sum of its proper divisors (2255885088).

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

1025495040 is an equidigital number, since it uses as much as digits as its factorization.

1025495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16723 (or 16701 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1025495040 is about 32023.3514798186. The cubic root of 1025495040 is about 1008.4271306472.

The spelling of 1025495040 in words is "one billion, twenty-five million, four hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 16691 20480 30720 33382 50073 61440 66764 83455 100146 133528 166910 200292 250365 267056 333820 400584 500730 534112 667640 801168 1001460 1068224 1335280 1602336 2002920 2136448 2670560 3204672 4005840 4272896 5341120 6409344 8011680 8545792 10682240 12818688 16023360 17091584 21364480 25637376 32046720 34183168 42728960 51274752 64093440 68366336 85457920 102549504 128186880 170915840 205099008 256373760 341831680 512747520 1025495040