Search a number
-
+
1121509460 = 225299532029
BaseRepresentation
bin100001011011000…
…1110000001010100
32220011022120202102
41002312032001110
54244101300320
6303141501232
736535446611
oct10266160124
92804276672
101121509460
11526076725
12273711818
1314b472186
14a8d3b508
15686d4175
hex42d8e054

1121509460 has 48 divisors (see below), whose sum is σ = 2440141200. Its totient is φ = 432466944.

The previous prime is 1121509453. The next prime is 1121509513. The reversal of 1121509460 is 649051211.

It can be written as a sum of positive squares in 8 ways, for example, as 67338436 + 1054171024 = 8206^2 + 32468^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

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, 551726 + ... + 553754.

It is an arithmetic number, because the mean of its divisors is an integer number (50836275).

Almost surely, 21121509460 is an apocalyptic number.

1121509460 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 1121509460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220070600).

1121509460 is an abundant number, since it is smaller than the sum of its proper divisors (1318631740).

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

1121509460 is a wasteful number, since it uses less digits than its factorization.

1121509460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 1121509460 is about 33488.9453402164. The cubic root of 1121509460 is about 1038.9651503505.

The spelling of 1121509460 in words is "one billion, one hundred twenty-one million, five hundred nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 953 1906 2029 3812 4058 4765 8116 9530 10145 19060 20290 27637 40580 55274 58841 110548 117682 138185 235364 276370 294205 552740 588410 1176820 1933637 3867274 7734548 9668185 19336370 38672740 56075473 112150946 224301892 280377365 560754730 1121509460