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1026655040 = 26515121247
BaseRepresentation
bin111101001100011…
…000001101000000
32122112211110221202
4331030120031000
54100310430130
6245512440332
734304265245
oct7514301500
92575743852
101026655040
1148757a144
122479a90a8
131349107b8
149a4c95cc
15601e9145
hex3d318340

1026655040 has 56 divisors (see below), whose sum is σ = 2461028352. Its totient is φ = 407923200.

The previous prime is 1026655039. The next prime is 1026655043. The reversal of 1026655040 is 405566201.

It is a junction number, because it is equal to n+sod(n) for n = 1026654994 and 1026655012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026655043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37697 + ... + 58943.

Almost surely, 21026655040 is an apocalyptic number.

1026655040 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 1026655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230514176).

1026655040 is an abundant number, since it is smaller than the sum of its proper divisors (1434373312).

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

1026655040 is a wasteful number, since it uses less digits than its factorization.

1026655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21415 (or 21405 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 1026655040 is about 32041.4581440982. The cubic root of 1026655040 is about 1008.8072185185.

The spelling of 1026655040 in words is "one billion, twenty-six million, six hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 151 160 302 320 604 755 1208 1510 2416 3020 4832 6040 9664 12080 21247 24160 42494 48320 84988 106235 169976 212470 339952 424940 679904 849880 1359808 1699760 3208297 3399520 6416594 6799040 12833188 16041485 25666376 32082970 51332752 64165940 102665504 128331880 205331008 256663760 513327520 1026655040