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5790204 = 223572337
BaseRepresentation
bin10110000101100111111100
3101220011200000
4112011213330
52440241304
6324034300
7100134030
oct26054774
911804600
105790204
1132a52a2
121b32990
131279674
14aaa1c0
15795939
hex5859fc

5790204 has 144 divisors (see below), whose sum is σ = 18590208. Its totient is φ = 1539648.

The previous prime is 5790203. The next prime is 5790209. The reversal of 5790204 is 4020975.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5790203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156474 + ... + 156510.

Almost surely, 25790204 is an apocalyptic number.

5790204 is a gapful number since it is divisible by the number (54) 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 5790204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9295104).

5790204 is an abundant number, since it is smaller than the sum of its proper divisors (12800004).

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

5790204 is a wasteful number, since it uses less digits than its factorization.

5790204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5790204 is about 2406.2842724832. The cubic root of 5790204 is about 179.5689686683.

Multiplying 5790204 by its reverse (4020975), we get a square (23282265528900 = 48251702).

The spelling of 5790204 in words is "five million, seven hundred ninety thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 37 42 46 54 63 69 74 81 84 92 108 111 126 138 148 161 162 189 207 222 243 252 259 276 322 324 333 378 414 444 483 486 518 567 621 644 666 756 777 828 851 966 972 999 1036 1134 1242 1332 1449 1554 1701 1702 1863 1932 1998 2268 2331 2484 2553 2898 2997 3108 3402 3404 3726 3996 4347 4662 5106 5589 5796 5957 5994 6804 6993 7452 7659 8694 8991 9324 10212 11178 11914 11988 13041 13986 15318 17388 17871 17982 20979 22356 22977 23828 26082 27972 30636 35742 35964 39123 41958 45954 52164 53613 62937 68931 71484 78246 83916 91908 107226 125874 137862 156492 160839 206793 214452 251748 275724 321678 413586 482517 643356 827172 965034 1447551 1930068 2895102 5790204