Search a number
-
+
7630060032 = 293578761
BaseRepresentation
bin1110001101100100…
…10111101000000000
3201200202022012200000
413012302113220000
5111111243410112
63301042400000
7360036303660
oct70662275000
921622265600
107630060032
113265a74041
12158b360000
139479c7c2a
145254ca1a0
152e9cc37dc
hex1c6c97a00

7630060032 has 240 divisors, whose sum is σ = 26101787712. Its totient is φ = 2179768320.

The previous prime is 7630060027. The next prime is 7630060057. The reversal of 7630060032 is 2300600367.

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

It is a junction number, because it is equal to n+sod(n) for n = 7630059978 and 7630060005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866532 + ... + 875292.

Almost surely, 27630060032 is an apocalyptic number.

7630060032 is a gapful number since it is divisible by the number (72) 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 7630060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13050893856).

7630060032 is an abundant number, since it is smaller than the sum of its proper divisors (18471727680).

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

7630060032 is an frugal number, since it uses more digits than its factorization.

7630060032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8801 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 7630060032 is about 87350.2148365990. The cubic root of 7630060032 is about 1968.6838789222.

Adding to 7630060032 its reverse (2300600367), we get a palindrome (9930660399).

The spelling of 7630060032 in words is "seven billion, six hundred thirty million, sixty thousand, thirty-two".