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1076245640 = 235372333121
BaseRepresentation
bin100000000100110…
…0011010010001000
32210000010221110122
41000021203102020
54201004330030
6254443402412
735445636251
oct10011432210
92700127418
101076245640
11502570308
12260523408
13141c84752
14a2d17b28
15647428e5
hex40263488

1076245640 has 64 divisors (see below), whose sum is σ = 2498474160. Its totient is φ = 416931840.

The previous prime is 1076245627. The next prime is 1076245649. The reversal of 1076245640 is 465426701.

It can be written as a sum of positive squares in 8 ways, for example, as 165533956 + 910711684 = 12866^2 + 30178^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1076245640.

It is not an unprimeable number, because it can be changed into a prime (1076245649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343280 + ... + 346400.

Almost surely, 21076245640 is an apocalyptic number.

1076245640 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 1076245640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249237080).

1076245640 is an abundant number, since it is smaller than the sum of its proper divisors (1422228520).

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

1076245640 is a wasteful number, since it uses less digits than its factorization.

1076245640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 1076245640 is about 32806.1829538275. The cubic root of 1076245640 is about 1024.7953237960.

The spelling of 1076245640 in words is "one billion, seventy-six million, two hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 233 296 370 466 740 932 1165 1480 1864 2330 3121 4660 6242 8621 9320 12484 15605 17242 24968 31210 34484 43105 62420 68968 86210 115477 124840 172420 230954 344840 461908 577385 727193 923816 1154770 1454386 2309540 2908772 3635965 4619080 5817544 7271930 14543860 26906141 29087720 53812282 107624564 134530705 215249128 269061410 538122820 1076245640