Search a number
-
+
1400553200 = 24525036961
BaseRepresentation
bin101001101111010…
…1011111011110000
310121121101110210202
41103132223323300
510332020200300
6350550414332
746464335324
oct12336537360
93547343722
101400553200
11659637392
123310613a8
13194213507
14d4017984
1582e53ad5
hex537abef0

1400553200 has 60 divisors (see below), whose sum is σ = 3372002928. Its totient is φ = 559027200.

The previous prime is 1400553181. The next prime is 1400553263. The reversal of 1400553200 is 23550041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197720 + ... + 204680.

Almost surely, 21400553200 is an apocalyptic number.

1400553200 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 1400553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686001464).

1400553200 is an abundant number, since it is smaller than the sum of its proper divisors (1971449728).

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

1400553200 is a wasteful number, since it uses less digits than its factorization.

1400553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1400553200 is about 37423.9655835669. The cubic root of 1400553200 is about 1118.8362699929.

The spelling of 1400553200 in words is "one billion, four hundred million, five hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 503 1006 2012 2515 4024 5030 6961 8048 10060 12575 13922 20120 25150 27844 34805 40240 50300 55688 69610 100600 111376 139220 174025 201200 278440 348050 556880 696100 1392200 2784400 3501383 7002766 14005532 17506915 28011064 35013830 56022128 70027660 87534575 140055320 175069150 280110640 350138300 700276600 1400553200