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1025540040 = 2335710931117
BaseRepresentation
bin111101001000000…
…111111111001000
32122110201211110110
4331020013333020
54100014240130
6245432514320
734261642440
oct7510077710
92573654413
101025540040
11486988458
1224754b9a0
13134610135
149a2b9120
1560078ab0
hex3d207fc8

1025540040 has 128 divisors (see below), whose sum is σ = 3522504960. Its totient is φ = 233985024.

The previous prime is 1025540023. The next prime is 1025540053. The reversal of 1025540040 is 400455201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1025539989 and 1025540016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917562 + ... + 918678.

It is an arithmetic number, because the mean of its divisors is an integer number (27519570).

Almost surely, 21025540040 is an apocalyptic number.

1025540040 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 1025540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761252480).

1025540040 is an abundant number, since it is smaller than the sum of its proper divisors (2496964920).

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

1025540040 is a wasteful number, since it uses less digits than its factorization.

1025540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 1025540040 is about 32024.0540843910. The cubic root of 1025540040 is about 1008.4418807777.

Adding to 1025540040 its reverse (400455201), we get a palindrome (1425995241).

The spelling of 1025540040 in words is "one billion, twenty-five million, five hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1093 1117 2186 2234 3279 3351 4372 4468 5465 5585 6558 6702 7651 7819 8744 8936 10930 11170 13116 13404 15302 15638 16395 16755 21860 22340 22953 23457 26232 26808 30604 31276 32790 33510 38255 39095 43720 44680 45906 46914 61208 62552 65580 67020 76510 78190 91812 93828 114765 117285 131160 134040 153020 156380 183624 187656 229530 234570 306040 312760 459060 469140 918120 938280 1220881 2441762 3662643 4883524 6104405 7325286 8546167 9767048 12208810 14650572 17092334 18313215 24417620 25638501 29301144 34184668 36626430 42730835 48835240 51277002 68369336 73252860 85461670 102554004 128192505 146505720 170923340 205108008 256385010 341846680 512770020 1025540040