Search a number
-
+
1401775200 = 253352773127
BaseRepresentation
bin101001110001101…
…0110010001100000
310121200200120002000
41103203112101200
510332323301300
6351032524000
746510615110
oct12343262140
93550616060
101401775200
1165a2a1501
12331550600
131945507a7
14d4255040
15830e5c00
hex538d6460

1401775200 has 576 divisors, whose sum is σ = 5919621120. Its totient is φ = 313528320.

The previous prime is 1401775183. The next prime is 1401775211. The reversal of 1401775200 is 25771041.

It is a super-4 number, since 4×14017752004 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 11037537 + ... + 11037663.

It is an arithmetic number, because the mean of its divisors is an integer number (10277120).

Almost surely, 21401775200 is an apocalyptic number.

1401775200 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 1401775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959810560).

1401775200 is an abundant number, since it is smaller than the sum of its proper divisors (4517845920).

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

1401775200 is a wasteful number, since it uses less digits than its factorization.

1401775200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1401775200 is about 37440.2884604272. The cubic root of 1401775200 is about 1119.1615748977.

It can be divided in two parts, 1401775 and 200, that added together give a triangular number (1401975 = T1674).

The spelling of 1401775200 in words is "one billion, four hundred one million, seven hundred seventy-five thousand, two hundred".