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5540976 = 2432723239
BaseRepresentation
bin10101001000110001110000
3101102111210100
4111020301300
52404302401
6314432400
765045310
oct25106160
911374710
105540976
113145021
121a32700
1311c00ac
14a43440
15746b86
hex548c70

5540976 has 120 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 1507968.

The previous prime is 5540939. The next prime is 5540993. The reversal of 5540976 is 6790455.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5540976.

It is a congruent number.

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, 23065 + ... + 23303.

It is an arithmetic number, because the mean of its divisors is an integer number (154752).

Almost surely, 25540976 is an apocalyptic number.

5540976 is a gapful number since it is divisible by the number (56) 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 5540976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

5540976 is an abundant number, since it is smaller than the sum of its proper divisors (13029264).

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

5540976 is a wasteful number, since it uses less digits than its factorization.

5540976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5540976 is about 2353.9277813901. The cubic root of 5540976 is about 176.9546949066.

The spelling of 5540976 in words is "five million, five hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 239 252 276 322 336 368 414 478 483 504 552 644 717 828 956 966 1008 1104 1288 1434 1449 1656 1673 1912 1932 2151 2576 2868 2898 3312 3346 3824 3864 4302 5019 5497 5736 5796 6692 7728 8604 10038 10994 11472 11592 13384 15057 16491 17208 20076 21988 23184 26768 30114 32982 34416 38479 40152 43976 49473 60228 65964 76958 80304 87952 98946 115437 120456 131928 153916 197892 230874 240912 263856 307832 346311 395784 461748 615664 692622 791568 923496 1385244 1846992 2770488 5540976