[go: up one dir, main page]

Search a number
-
+
1121433040 = 245713154043
BaseRepresentation
bin100001011010111…
…1011010111010000
32220011011200221001
41002311323113100
54244041324130
6303140111344
736535011040
oct10265732720
92804150831
101121433040
11526024272
12273695554
1314b446460
14a8d1b720
15686bb6ca
hex42d7b5d0

1121433040 has 80 divisors (see below), whose sum is σ = 3209044608. Its totient is φ = 354912768.

The previous prime is 1121433013. The next prime is 1121433043. The reversal of 1121433040 is 403341211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11214330402 = 2515224126407283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121432999 and 1121433017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121433043) 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, 69742 + ... + 84301.

Almost surely, 21121433040 is an apocalyptic number.

1121433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121433040 is an abundant number, since it is smaller than the sum of its proper divisors (2087611568).

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

1121433040 is a wasteful number, since it uses less digits than its factorization.

1121433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154076 (or 154070 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1121433040 is about 33487.8043472545. The cubic root of 1121433040 is about 1038.9415513460.

Adding to 1121433040 its reverse (403341211), we get a palindrome (1524774251).

The spelling of 1121433040 in words is "one billion, one hundred twenty-one million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 154043 308086 616172 770215 1078301 1232344 1540430 2002559 2156602 2464688 3080860 4005118 4313204 5391505 6161720 8010236 8626408 10012795 10783010 12323440 14017913 16020472 17252816 20025590 21566020 28035826 32040944 40051180 43132040 56071652 70089565 80102360 86264080 112143304 140179130 160204720 224286608 280358260 560716520 1121433040