Search a number
-
+
1453023100 = 2252193112459
BaseRepresentation
bin101011010011011…
…0101111101111100
310202021010012222101
41112212311331330
510433433214400
6400103154444
751002330644
oct12646657574
93667105871
101453023100
11686214841
12346745a24
131a2054ba9
14dad95524
158786a56a
hex569b5f7c

1453023100 has 72 divisors (see below), whose sum is σ = 3331036800. Its totient is φ = 548625600.

The previous prime is 1453023071. The next prime is 1453023107. The reversal of 1453023100 is 13203541.

It is a super-2 number, since 2×14530231002 = 4222552258267220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453023107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589671 + ... + 592129.

It is an arithmetic number, because the mean of its divisors is an integer number (46264400).

Almost surely, 21453023100 is an apocalyptic number.

1453023100 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 1453023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665518400).

1453023100 is an abundant number, since it is smaller than the sum of its proper divisors (1878013700).

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

1453023100 is a wasteful number, since it uses less digits than its factorization.

1453023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1453023100 is about 38118.5401084564. The cubic root of 1453023100 is about 1132.6372474889.

Adding to 1453023100 its reverse (13203541), we get a palindrome (1466226641).

The spelling of 1453023100 in words is "one billion, four hundred fifty-three million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 311 380 475 622 950 1244 1555 1900 2459 3110 4918 5909 6220 7775 9836 11818 12295 15550 23636 24590 29545 31100 46721 49180 59090 61475 93442 118180 122950 147725 186884 233605 245900 295450 467210 590900 764749 934420 1168025 1529498 2336050 3058996 3823745 4672100 7647490 14530231 15294980 19118725 29060462 38237450 58120924 72651155 76474900 145302310 290604620 363255775 726511550 1453023100