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4270026240 = 29335163379
BaseRepresentation
bin1111111010000011…
…0110111000000000
3102000120210210211000
43332200312320000
532221111314430
61543413252000
7210546424044
oct37640667000
912016723730
104270026240
1118a1355a07
129b2034000
1353085645c
142c7164024
1519ed12e60
hexfe836e00

4270026240 has 320 divisors, whose sum is σ = 15300806400. Its totient is φ = 1128701952.

The previous prime is 4270026203. The next prime is 4270026253. The reversal of 4270026240 is 426200724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11266371 + ... + 11266749.

It is an arithmetic number, because the mean of its divisors is an integer number (47815020).

Almost surely, 24270026240 is an apocalyptic number.

4270026240 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 4270026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650403200).

4270026240 is an abundant number, since it is smaller than the sum of its proper divisors (11030780160).

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

4270026240 is a wasteful number, since it uses less digits than its factorization.

4270026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4270026240 is about 65345.4377902543. The cubic root of 4270026240 is about 1622.3461205454.

Adding to 4270026240 its reverse (426200724), we get a palindrome (4696226964).

The spelling of 4270026240 in words is "four billion, two hundred seventy million, twenty-six thousand, two hundred forty".