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553321120 = 255112313669
BaseRepresentation
bin100000111110110…
…000001010100000
31102120011121212211
4200332300022200
52113122233440
6130523331504
716466103052
oct4076601240
91376147784
10553321120
11264376390
12135380b94
138a834061
14536b58d2
153389beea
hex20fb02a0

553321120 has 96 divisors (see below), whose sum is σ = 1488170880. Its totient is φ = 192445440.

The previous prime is 553321103. The next prime is 553321141. The reversal of 553321120 is 21123355.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 553321091 and 553321100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33646 + ... + 47314.

It is an arithmetic number, because the mean of its divisors is an integer number (15501780).

Almost surely, 2553321120 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 553321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744085440).

553321120 is an abundant number, since it is smaller than the sum of its proper divisors (934849760).

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

553321120 is a wasteful number, since it uses less digits than its factorization.

553321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13718 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 553321120 is about 23522.7787474184. The cubic root of 553321120 is about 820.9670921763.

Adding to 553321120 its reverse (21123355), we get a palindrome (574444475).

The spelling of 553321120 in words is "five hundred fifty-three million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3680 4048 5060 8096 10120 13669 20240 27338 40480 54676 68345 109352 136690 150359 218704 273380 300718 314387 437408 546760 601436 628774 751795 1093520 1202872 1257548 1503590 1571935 2187040 2405744 2515096 3007180 3143870 3458257 4811488 5030192 6014360 6287740 6916514 10060384 12028720 12575480 13833028 17291285 24057440 25150960 27666056 34582570 50301920 55332112 69165140 110664224 138330280 276660560 553321120