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1453045000 = 23541129911
BaseRepresentation
bin101011010011011…
…1011010100001000
310202021011100000111
41112212323110020
510433434420000
6400103444104
751002451541
oct12646732410
93667140014
101453045000
1168622a240
12346756634
131a2061b54
14dad9d4c8
1587871cba
hex569bb508

1453045000 has 160 divisors (see below), whose sum is σ = 3846268800. Its totient is φ = 509600000.

The previous prime is 1453044991. The next prime is 1453045001. The reversal of 1453045000 is 5403541.

It is a super-2 number, since 2×14530450002 = 4222679544050000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1453045001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1594545 + ... + 1595455.

It is an arithmetic number, because the mean of its divisors is an integer number (24039180).

Almost surely, 21453045000 is an apocalyptic number.

1453045000 is a gapful number since it is divisible by the number (10) 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 1453045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923134400).

1453045000 is an abundant number, since it is smaller than the sum of its proper divisors (2393223800).

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

1453045000 is a wasteful number, since it uses less digits than its factorization.

1453045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1453045000 is about 38118.8273691623. The cubic root of 1453045000 is about 1132.6429378392.

Adding to 1453045000 its reverse (5403541), we get a palindrome (1458448541).

The spelling of 1453045000 in words is "one billion, four hundred fifty-three million, forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 625 638 725 911 1000 1100 1160 1250 1276 1375 1450 1595 1822 2200 2500 2552 2750 2900 3190 3625 3644 4555 5000 5500 5800 6380 6875 7250 7288 7975 9110 10021 11000 12760 13750 14500 15950 18125 18220 20042 22775 26419 27500 29000 31900 36250 36440 39875 40084 45550 50105 52838 55000 63800 72500 79750 80168 91100 100210 105676 113875 132095 145000 159500 182200 199375 200420 211352 227750 250525 264190 290609 319000 398750 400840 455500 501050 528380 569375 581218 660475 797500 911000 1002100 1056760 1138750 1162436 1252625 1320950 1453045 1595000 2004200 2277500 2324872 2505250 2641900 2906090 3302375 4555000 5010500 5283800 5812180 6263125 6604750 7265225 10021000 11624360 12526250 13209500 14530450 16511875 25052500 26419000 29060900 33023750 36326125 50105000 58121800 66047500 72652250 132095000 145304500 181630625 290609000 363261250 726522500 1453045000