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5503920 = 2435171971
BaseRepresentation
bin10100111111101110110000
3101100121221220
4110333232300
52402111140
6313545040
764532262
oct24775660
911317856
105503920
11311a1a4
121a15180
1311a9276
14a33b32
1573abd0
hex53fbb0

5503920 has 160 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 1290240.

The previous prime is 5503919. The next prime is 5503921. The reversal of 5503920 is 293055.

It is an interprime number because it is at equal distance from previous prime (5503919) and next prime (5503921).

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

It is not an unprimeable number, because it can be changed into a prime (5503921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77485 + ... + 77555.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

Almost surely, 25503920 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 5503920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

5503920 is an abundant number, since it is smaller than the sum of its proper divisors (13780560).

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

5503920 is a wasteful number, since it uses less digits than its factorization.

5503920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 5503920 is about 2346.0434778580. The cubic root of 5503920 is about 176.5593430662.

Adding to 5503920 its reverse (293055), we get a palindrome (5796975).

The spelling of 5503920 in words is "five million, five hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 34 38 40 48 51 57 60 68 71 76 80 85 95 102 114 120 136 142 152 170 190 204 213 228 240 255 272 284 285 304 323 340 355 380 408 426 456 510 568 570 646 680 710 760 816 852 912 969 1020 1065 1136 1140 1207 1292 1349 1360 1420 1520 1615 1704 1938 2040 2130 2280 2414 2584 2698 2840 3230 3408 3621 3876 4047 4080 4260 4560 4828 4845 5168 5396 5680 6035 6460 6745 7242 7752 8094 8520 9656 9690 10792 12070 12920 13490 14484 15504 16188 17040 18105 19312 19380 20235 21584 22933 24140 25840 26980 28968 32376 36210 38760 40470 45866 48280 53960 57936 64752 68799 72420 77520 80940 91732 96560 107920 114665 137598 144840 161880 183464 229330 275196 289680 323760 343995 366928 458660 550392 687990 917320 1100784 1375980 1834640 2751960 5503920