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1025404128 = 253271912663
BaseRepresentation
bin111101000111100…
…110110011100000
32122110110221000200
4331013212303200
54100000413003
6245425545200
734260535260
oct7507466340
92573427020
101025404128
114868a5331
122474a5200
13134593308
149a2817a0
156004d6a3
hex3d1e6ce0

1025404128 has 144 divisors (see below), whose sum is σ = 3351269376. Its totient is φ = 291329280.

The previous prime is 1025404111. The next prime is 1025404139. The reversal of 1025404128 is 8214045201.

1025404128 is a `hidden beast` number, since 102 + 540 + 4 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383725 + ... + 386387.

It is an arithmetic number, because the mean of its divisors is an integer number (23272704).

Almost surely, 21025404128 is an apocalyptic number.

1025404128 is a gapful number since it is divisible by the number (18) 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 1025404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675634688).

1025404128 is an abundant number, since it is smaller than the sum of its proper divisors (2325865248).

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

1025404128 is a wasteful number, since it uses less digits than its factorization.

1025404128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1025404128 is about 32021.9319841886. The cubic root of 1025404128 is about 1008.3973301336.

Adding to 1025404128 its reverse (8214045201), we get a palindrome (9239449329).

The spelling of 1025404128 in words is "one billion, twenty-five million, four hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 191 224 252 288 336 382 504 573 672 764 1008 1146 1337 1528 1719 2016 2292 2663 2674 3056 3438 4011 4584 5326 5348 6112 6876 7989 8022 9168 10652 10696 12033 13752 15978 16044 18336 18641 21304 21392 23967 24066 27504 31956 32088 37282 42608 42784 47934 48132 55008 55923 63912 64176 74564 85216 95868 96264 111846 127824 128352 149128 167769 191736 192528 223692 255648 298256 335538 383472 385056 447384 508633 596512 671076 766944 894768 1017266 1342152 1525899 1789536 2034532 2684304 3051798 3560431 4069064 4577697 5368608 6103596 7120862 8138128 9155394 10681293 12207192 14241724 16276256 18310788 21362586 24414384 28483448 32043879 36621576 42725172 48828768 56966896 64087758 73243152 85450344 113933792 128175516 146486304 170900688 256351032 341801376 512702064 1025404128