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1124004040 = 235291396971
BaseRepresentation
bin100001011111110…
…1111000011001000
32220100000022200021
41002333233003020
54300221112130
6303311150224
736565606465
oct10277570310
92810008607
101124004040
1152751a965
12274515374
1314bb36763
14a93ca66c
1568a2837a
hex42fef0c8

1124004040 has 64 divisors (see below), whose sum is σ = 2635416000. Its totient is φ = 430913280.

The previous prime is 1124004029. The next prime is 1124004041. The reversal of 1124004040 is 404004211.

It is not an unprimeable number, because it can be changed into a prime (1124004041) 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, 157755 + ... + 164725.

It is an arithmetic number, because the mean of its divisors is an integer number (41178375).

Almost surely, 21124004040 is an apocalyptic number.

1124004040 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 1124004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317708000).

1124004040 is an abundant number, since it is smaller than the sum of its proper divisors (1511411960).

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

1124004040 is a wasteful number, since it uses less digits than its factorization.

1124004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1124004040 is about 33526.1694799749. The cubic root of 1124004040 is about 1039.7349053131.

Adding to 1124004040 its reverse (404004211), we get a palindrome (1528008251).

The spelling of 1124004040 in words is "one billion, one hundred twenty-four million, four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 139 145 232 278 290 556 580 695 1112 1160 1390 2780 4031 5560 6971 8062 13942 16124 20155 27884 32248 34855 40310 55768 69710 80620 139420 161240 202159 278840 404318 808636 968969 1010795 1617272 1937938 2021590 3875876 4043180 4844845 7751752 8086360 9689690 19379380 28100101 38758760 56200202 112400404 140500505 224800808 281001010 562002020 1124004040