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1400807124 = 2232371935449
BaseRepresentation
bin101001101111110…
…1001111011010100
310121121212101010100
41103133221323110
510332101311444
6351000054100
746466443533
oct12337517324
93547771110
101400807124
116597a0142
12331164330
131942a1c72
14d408231a
1582ea3e69
hex537e9ed4

1400807124 has 72 divisors (see below), whose sum is σ = 3656143400. Its totient is φ = 451878912.

The previous prime is 1400807063. The next prime is 1400807131. The reversal of 1400807124 is 4217080041.

It can be written as a sum of positive squares in 4 ways, for example, as 89643024 + 1311164100 = 9468^2 + 36210^2 .

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 23 ways as a sum of consecutive naturals, for example, 254352 + ... + 259800.

Almost surely, 21400807124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400807124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828071700).

1400807124 is an abundant number, since it is smaller than the sum of its proper divisors (2255336276).

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

1400807124 is a wasteful number, since it uses less digits than its factorization.

1400807124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1400807124 is about 37427.3579617905. The cubic root of 1400807124 is about 1118.9038818987.

Adding to 1400807124 its reverse (4217080041), we get a palindrome (5617887165).

The spelling of 1400807124 in words is "one billion, four hundred million, eight hundred seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 193 222 333 386 444 579 666 772 1158 1332 1737 2316 3474 5449 6948 7141 10898 14282 16347 21423 21796 28564 32694 42846 49041 64269 65388 85692 98082 128538 196164 201613 257076 403226 604839 806452 1051657 1209678 1814517 2103314 2419356 3154971 3629034 4206628 6309942 7258068 9464913 12619884 18929826 37859652 38911309 77822618 116733927 155645236 233467854 350201781 466935708 700403562 1400807124