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1026102040 = 235591313319
BaseRepresentation
bin111101001010010…
…001001100011000
32122111210101101021
4331022101030120
54100140231130
6245452532224
734266503065
oct7512211430
92574711337
101026102040
11487231717
12247781074
13134778b92
149a3c3c6c
156013a37a
hex3d291318

1026102040 has 64 divisors (see below), whose sum is σ = 2366496000. Its totient is φ = 400283520.

The previous prime is 1026102023. The next prime is 1026102043. The reversal of 1026102040 is 402016201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026102043) 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 15 ways as a sum of consecutive naturals, for example, 307501 + ... + 310819.

It is an arithmetic number, because the mean of its divisors is an integer number (36976500).

Almost surely, 21026102040 is an apocalyptic number.

1026102040 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 1026102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183248000).

1026102040 is an abundant number, since it is smaller than the sum of its proper divisors (1340393960).

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

1026102040 is a wasteful number, since it uses less digits than its factorization.

1026102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1026102040 is about 32032.8275367630. The cubic root of 1026102040 is about 1008.6260571857.

Adding to 1026102040 its reverse (402016201), we get a palindrome (1428118241).

The spelling of 1026102040 in words is "one billion, twenty-six million, one hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 131 236 262 295 472 524 590 655 1048 1180 1310 2360 2620 3319 5240 6638 7729 13276 15458 16595 26552 30916 33190 38645 61832 66380 77290 132760 154580 195821 309160 391642 434789 783284 869578 979105 1566568 1739156 1958210 2173945 3478312 3916420 4347890 7832840 8695780 17391560 25652551 51305102 102610204 128262755 205220408 256525510 513051020 1026102040