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1014426720 = 253351719727
BaseRepresentation
bin111100011101101…
…110110001100000
32121200211012212000
4330131232301200
54034143123340
6244354404000
734065325206
oct7435566140
92550735760
101014426720
1148068789a
12243890600
1313221b8c8
1498a25076
155e0d0d30
hex3c76ec60

1014426720 has 384 divisors, whose sum is σ = 3962649600. Its totient is φ = 240869376.

The previous prime is 1014426691. The next prime is 1014426727. The reversal of 1014426720 is 276244101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014426727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1394997 + ... + 1395723.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 21014426720 is an apocalyptic number.

1014426720 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 1014426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

1014426720 is an abundant number, since it is smaller than the sum of its proper divisors (2948222880).

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

1014426720 is a wasteful number, since it uses less digits than its factorization.

1014426720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1014426720 is about 31850.0662479688. The cubic root of 1014426720 is about 1004.7859646673.

It can be divided in two parts, 10144 and 26720, that added together give a square (36864 = 1922).

The spelling of 1014426720 in words is "one billion, fourteen million, four hundred twenty-six thousand, seven hundred twenty".