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1400347872 = 253372113197
BaseRepresentation
bin101001101110111…
…1001110011100000
310121121000001011000
41103131321303200
510331442112442
6350542152000
746462521600
oct12335716340
93547001130
101400347872
116595070a0
12330b82600
13194170c11
14d3da2c00
1582e12d4c
hex53779ce0

1400347872 has 576 divisors, whose sum is σ = 5405460480. Its totient is φ = 348364800.

The previous prime is 1400347849. The next prime is 1400347873. The reversal of 1400347872 is 2787430041.

It is a happy number.

It is a super-2 number, since 2×14003478722 = 3921948325229856768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400347873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14436528 + ... + 14436624.

It is an arithmetic number, because the mean of its divisors is an integer number (9384480).

Almost surely, 21400347872 is an apocalyptic number.

1400347872 is a gapful number since it is divisible by the number (12) 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 1400347872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702730240).

1400347872 is an abundant number, since it is smaller than the sum of its proper divisors (4005112608).

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

1400347872 is a wasteful number, since it uses less digits than its factorization.

1400347872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1400347872 is about 37421.2222141394. Note that the first 4 decimals coincide. The cubic root of 1400347872 is about 1118.7815916841.

The spelling of 1400347872 in words is "one billion, four hundred million, three hundred forty-seven thousand, eight hundred seventy-two".