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1026360090 = 232573152553
BaseRepresentation
bin111101001011010…
…000001100011010
32122112021111100200
4331023100030122
54100222010330
6245502243030
734301626320
oct7513201432
92575244320
101026360090
11487398588
12247886476
13134839482
149a44dd10
156018ba60
hex3d2d031a

1026360090 has 96 divisors (see below), whose sum is σ = 3148194816. Its totient is φ = 227024640.

The previous prime is 1026360089. The next prime is 1026360109. The reversal of 1026360090 is 900636201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6747 + ... + 45806.

It is an arithmetic number, because the mean of its divisors is an integer number (32793696).

Almost surely, 21026360090 is an apocalyptic number.

1026360090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026360090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574097408).

1026360090 is an abundant number, since it is smaller than the sum of its proper divisors (2121834726).

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

1026360090 is a wasteful number, since it uses less digits than its factorization.

1026360090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52604 (or 52601 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1026360090 is about 32036.8551827423. The cubic root of 1026360090 is about 1008.7106017789.

Adding to 1026360090 its reverse (900636201), we get a palindrome (1926996291).

The spelling of 1026360090 in words is "one billion, twenty-six million, three hundred sixty thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 19530 52553 105106 157659 262765 315318 367871 472977 525530 735742 788295 945954 1103613 1576590 1629143 1839355 2207226 2364885 3258286 3310839 3678710 4729770 4887429 5518065 6621678 8145715 9774858 11036130 11404001 14662287 16291430 16554195 22808002 24437145 29324574 33108390 34212003 48874290 57020005 68424006 73311435 102636009 114040010 146622870 171060015 205272018 342120030 513180045 1026360090