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4700142720 = 27335731361
BaseRepresentation
bin1000110000010011…
…00111110010000000
3110010120010222201000
410120021213302000
534111214031340
62054220212000
7224321361000
oct43011476200
913116128630
104700142720
111aa2120879
12ab209a000
1359b9b0a50
14328328000
151c7974d30
hex118267c80

4700142720 has 1024 divisors, whose sum is σ = 21248640000. Its totient is φ = 975421440.

The previous prime is 4700142719. The next prime is 4700142749. The reversal of 4700142720 is 272410074.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 77051490 + ... + 77051550.

It is an arithmetic number, because the mean of its divisors is an integer number (20750625).

Almost surely, 24700142720 is an apocalyptic number.

4700142720 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 4700142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624320000).

4700142720 is an abundant number, since it is smaller than the sum of its proper divisors (16548497280).

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

4700142720 is a wasteful number, since it uses less digits than its factorization.

4700142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 4700142720 is about 68557.5868886880. The cubic root of 4700142720 is about 1675.0856384521.

Adding to 4700142720 its reverse (272410074), we get a palindrome (4972552794).

The spelling of 4700142720 in words is "four billion, seven hundred million, one hundred forty-two thousand, seven hundred twenty".