Search a number
-
+
1133554240 = 26572136783
BaseRepresentation
bin100001110010000…
…1010101001000000
32220222222112002101
41003210022221000
54310142213430
6304252000144
740043023600
oct10344125100
92828875071
101133554240
11531953095
12277760054
13150acb670
14aa794c00
15697b2dca
hex4390aa40

1133554240 has 336 divisors, whose sum is σ = 3473330112. Its totient is φ = 349138944.

The previous prime is 1133554229. The next prime is 1133554297. The reversal of 1133554240 is 424553311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1133554199 and 1133554208.

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, 13657239 + ... + 13657321.

It is an arithmetic number, because the mean of its divisors is an integer number (10337292).

Almost surely, 21133554240 is an apocalyptic number.

1133554240 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 1133554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736665056).

1133554240 is an abundant number, since it is smaller than the sum of its proper divisors (2339775872).

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

1133554240 is a wasteful number, since it uses less digits than its factorization.

1133554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1133554240 is about 33668.2972542420. The cubic root of 1133554240 is about 1042.6713376716.

The spelling of 1133554240 in words is "one billion, one hundred thirty-three million, five hundred fifty-four thousand, two hundred forty".