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1150431620 = 225135098693
BaseRepresentation
bin100010010010010…
…0011000110000100
32222011201222111112
41010210203012010
54324002302440
6310053424152
740336336022
oct10444430604
92864658445
101150431620
11540430338
1228133b058
1315445a690
14acb09712
156aee8965
hex44923184

1150431620 has 48 divisors (see below), whose sum is σ = 2607156720. Its totient is φ = 423891456.

The previous prime is 1150431571. The next prime is 1150431637. The reversal of 1150431620 is 261340511.

1150431620 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 154902916 + 995528704 = 12446^2 + 31552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127994 + ... + 136686.

It is an arithmetic number, because the mean of its divisors is an integer number (54315765).

Almost surely, 21150431620 is an apocalyptic number.

1150431620 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 1150431620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303578360).

1150431620 is an abundant number, since it is smaller than the sum of its proper divisors (1456725100).

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

1150431620 is a wasteful number, since it uses less digits than its factorization.

1150431620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9222 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1150431620 is about 33918.0132083234. The cubic root of 1150431620 is about 1047.8206103319.

The spelling of 1150431620 in words is "one billion, one hundred fifty million, four hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 509 1018 2036 2545 5090 6617 8693 10180 13234 17386 26468 33085 34772 43465 66170 86930 113009 132340 173860 226018 452036 565045 1130090 2260180 4424737 8849474 17698948 22123685 44247370 57521581 88494740 115043162 230086324 287607905 575215810 1150431620