Search a number
-
+
553253040 = 243252333409
BaseRepresentation
bin100000111110011…
…111100010110000
31102120001011111100
4200332133202300
52113113044130
6130522044400
716465400424
oct4076374260
91376034440
10553253040
1126432a21a
12135349700
138a80c082
1453698b84
1533886c60
hex20f9f8b0

553253040 has 120 divisors (see below), whose sum is σ = 1938849120. Its totient is φ = 141115392.

The previous prime is 553253011. The next prime is 553253101. The reversal of 553253040 is 40352355.

553253040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 553252995 and 553253013.

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, 145 + ... + 33264.

It is an arithmetic number, because the mean of its divisors is an integer number (16157076).

Almost surely, 2553253040 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 553253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969424560).

553253040 is an abundant number, since it is smaller than the sum of its proper divisors (1385596080).

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

553253040 is a wasteful number, since it uses less digits than its factorization.

553253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33451 (or 33442 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 553253040 is about 23521.3315949586. The cubic root of 553253040 is about 820.9334205101.

The spelling of 553253040 in words is "five hundred fifty-three million, two hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 33409 66818 100227 133636 167045 200454 267272 300681 334090 400908 501135 534544 601362 668180 768407 801816 1002270 1202724 1336360 1503405 1536814 1603632 2004540 2305221 2405448 2672720 3006810 3073628 3842035 4009080 4610442 4810896 6013620 6147256 6915663 7684070 8018160 9220884 11526105 12027240 12294512 13831326 15368140 18441768 23052210 24054480 27662652 30736280 34578315 36883536 46104420 55325304 61472560 69156630 92208840 110650608 138313260 184417680 276626520 553253040