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1124132004 = 2232172936269
BaseRepresentation
bin100001100000000…
…1110010010100100
32220100020211012200
41003000032102210
54300234211004
6303314014500
736566651532
oct10300162244
92810224180
101124132004
115275a8016
12274577430
1314bb7ca88
14a9421152
1568a51239
hex4300e4a4

1124132004 has 72 divisors (see below), whose sum is σ = 3019456440. Its totient is φ = 351409152.

The previous prime is 1124131999. The next prime is 1124132011. The reversal of 1124132004 is 4002314211.

It can be written as a sum of positive squares in 4 ways, for example, as 491508900 + 632623104 = 22170^2 + 25152^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176182 + ... + 182450.

It is an arithmetic number, because the mean of its divisors is an integer number (41936895).

Almost surely, 21124132004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124132004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509728220).

1124132004 is an abundant number, since it is smaller than the sum of its proper divisors (1895324436).

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

1124132004 is a wasteful number, since it uses less digits than its factorization.

1124132004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1124132004 is about 33528.0778452926. The cubic root of 1124132004 is about 1039.7743605653.

Adding to 1124132004 its reverse (4002314211), we get a palindrome (5126446215).

The spelling of 1124132004 in words is "one billion, one hundred twenty-four million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 293 306 586 612 879 1172 1758 2637 3516 4981 5274 6269 9962 10548 12538 14943 18807 19924 25076 29886 37614 44829 56421 59772 75228 89658 106573 112842 179316 213146 225684 319719 426292 639438 959157 1278876 1836817 1918314 3673634 3836628 5510451 7347268 11020902 16531353 22041804 31225889 33062706 62451778 66125412 93677667 124903556 187355334 281033001 374710668 562066002 1124132004