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553741920 = 2534542727
BaseRepresentation
bin100001000000010…
…110111001100000
31102120222000010000
4201000112321200
52113224220140
6130540340000
716502504634
oct4100267140
91376860100
10553741920
11264633556
12135544600
138a950754
1453784dc4
1533931a30
hex21016e60

553741920 has 120 divisors (see below), whose sum is σ = 1954293264. Its totient is φ = 147661056.

The previous prime is 553741919. The next prime is 553741939. The reversal of 553741920 is 29147355.

553741920 is a `hidden beast` number, since 553 + 74 + 19 + 20 = 666.

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

It is a super-2 number, since 2×5537419202 = 613260227930572800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8404 + ... + 34323.

Almost surely, 2553741920 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 553741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977146632).

553741920 is an abundant number, since it is smaller than the sum of its proper divisors (1400551344).

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

553741920 is a wasteful number, since it uses less digits than its factorization.

553741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42754 (or 42737 counting only the distinct ones).

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

The square root of 553741920 is about 23531.7215689800. The cubic root of 553741920 is about 821.1751542474.

The spelling of 553741920 in words is "five hundred fifty-three million, seven hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 42727 85454 128181 170908 213635 256362 341816 384543 427270 512724 640905 683632 769086 854540 1025448 1153629 1281810 1367264 1538172 1709080 1922715 2050896 2307258 2563620 3076344 3418160 3460887 3845430 4101792 4614516 5127240 5768145 6152688 6836320 6921774 7690860 9229032 10254480 11536290 12305376 13843548 15381720 17304435 18458064 20508960 23072580 27687096 30763440 34608870 36916128 46145160 55374192 61526880 69217740 92290320 110748384 138435480 184580640 276870960 553741920