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553215460 = 225731413109
BaseRepresentation
bin100000111110010…
…110010111100100
31102112222020221111
4200332112113210
52113110343320
6130521154404
716465153030
oct4076262744
91375866844
10553215460
11264303a66
1213532ba04
138a7c7c35
14536891c0
153387aa5a
hex20f965e4

553215460 has 96 divisors (see below), whose sum is σ = 1404426240. Its totient is φ = 179020800.

The previous prime is 553215437. The next prime is 553215463. The reversal of 553215460 is 64512355.

553215460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (553215463) 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, 176386 + ... + 179494.

It is an arithmetic number, because the mean of its divisors is an integer number (14629440).

Almost surely, 2553215460 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 553215460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702213120).

553215460 is an abundant number, since it is smaller than the sum of its proper divisors (851210780).

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

553215460 is a wasteful number, since it uses less digits than its factorization.

553215460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 553215460 is about 23520.5327320620. The cubic root of 553215460 is about 820.9148326463.

The spelling of 553215460 in words is "five hundred fifty-three million, two hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 41 62 70 82 124 140 155 164 205 217 287 310 410 434 574 620 820 868 1085 1148 1271 1435 2170 2542 2870 3109 4340 5084 5740 6218 6355 8897 12436 12710 15545 17794 21763 25420 31090 35588 43526 44485 62180 87052 88970 96379 108815 127469 177940 192758 217630 254938 385516 435260 481895 509876 637345 674653 892283 963790 1274690 1349306 1784566 1927580 2549380 2698612 3373265 3569132 3951539 4461415 6746530 7903078 8922830 13493060 15806156 17845660 19757695 27660773 39515390 55321546 79030780 110643092 138303865 276607730 553215460