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5923104 = 253117179
BaseRepresentation
bin10110100110000100100000
3102010220222020
4112212010200
53004014404
6330541440
7101226345
oct26460440
912126866
105923104
113386130
121b97880
1312c4cc5
14b027cc
157beed9
hex5a6120

5923104 has 96 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1747200.

The previous prime is 5923097. The next prime is 5923133. The reversal of 5923104 is 4013295.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 74937 + ... + 75015.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 25923104 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 5923104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

5923104 is an abundant number, since it is smaller than the sum of its proper divisors (11495136).

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

5923104 is a wasteful number, since it uses less digits than its factorization.

5923104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5923104 is about 2433.7427965995. The cubic root of 5923104 is about 180.9324453085.

Adding to 5923104 its reverse (4013295), we get a palindrome (9936399).

The spelling of 5923104 in words is "five million, nine hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 79 88 96 132 142 158 176 213 237 264 284 316 352 426 474 528 568 632 781 852 869 948 1056 1136 1264 1562 1704 1738 1896 2272 2343 2528 2607 3124 3408 3476 3792 4686 5214 5609 6248 6816 6952 7584 9372 10428 11218 12496 13904 16827 18744 20856 22436 24992 27808 33654 37488 41712 44872 61699 67308 74976 83424 89744 123398 134616 179488 185097 246796 269232 370194 493592 538464 740388 987184 1480776 1974368 2961552 5923104