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4024245120 = 273574167109
BaseRepresentation
bin1110111111011101…
…0001101110000000
3101101110022211111120
43233313101232000
531220201320440
61503153312240
7201503343030
oct35767215600
911343284446
104024245120
111785643a15
12943865680
134c196013c
142a26658c0
15188463dd0
hexefdd1b80

4024245120 has 512 divisors, whose sum is σ = 15381273600. Its totient is φ = 875888640.

The previous prime is 4024245107. The next prime is 4024245133. The reversal of 4024245120 is 215424204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4024245107) and next prime (4024245133).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36919626 + ... + 36919734.

It is an arithmetic number, because the mean of its divisors is an integer number (30041550).

Almost surely, 24024245120 is an apocalyptic number.

4024245120 is a gapful number since it is divisible by the number (40) 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 4024245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690636800).

4024245120 is an abundant number, since it is smaller than the sum of its proper divisors (11357028480).

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

4024245120 is a wasteful number, since it uses less digits than its factorization.

4024245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4024245120 is about 63436.9381354428. The cubic root of 4024245120 is about 1590.6018211492.

Adding to 4024245120 its reverse (215424204), we get a palindrome (4239669324).

The spelling of 4024245120 in words is "four billion, twenty-four million, two hundred forty-five thousand, one hundred twenty".