Search a number
-
+
453570920 = 235112313023
BaseRepresentation
bin11011000010001…
…111000101101000
31011121110210022222
4123002033011220
51412103232140
6113001333212
714145201125
oct3302170550
91147423288
10453570920
11213035600
12107a97208
1372c7a17a
144434b74c
1529c465b5
hex1b08f168

453570920 has 96 divisors (see below), whose sum is σ = 1158312960. Its totient is φ = 159561600.

The previous prime is 453570913. The next prime is 453570961. The reversal of 453570920 is 29075354.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148529 + ... + 151551.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760).

Almost surely, 2453570920 is an apocalyptic number.

453570920 is a gapful number since it is divisible by the number (40) 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 453570920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

453570920 is an abundant number, since it is smaller than the sum of its proper divisors (704742040).

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

453570920 is a wasteful number, since it uses less digits than its factorization.

453570920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 453570920 is about 21297.2045113907. The cubic root of 453570920 is about 768.3310792227.

The spelling of 453570920 in words is "four hundred fifty-three million, five hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1705 2420 2728 3023 3410 3751 4840 6046 6820 7502 12092 13640 15004 15115 18755 24184 30008 30230 33253 37510 60460 66506 75020 93713 120920 133012 150040 166265 187426 266024 332530 365783 374852 468565 665060 731566 749704 937130 1030843 1330120 1463132 1828915 1874260 2061686 2926264 3657830 3748520 4123372 5154215 7315660 8246744 10308430 11339273 14631320 20616860 22678546 41233720 45357092 56696365 90714184 113392730 226785460 453570920