Search a number
-
+
3942030720 = 273517235989
BaseRepresentation
bin1110101011110110…
…1001110110000000
3101011201121220112210
43222331221312000
531033124440340
61451055222120
7166454464635
oct35275516600
911151556483
103942030720
1117431a0031
12920217940
134aa905b74
1429578418c
15181124180
hexeaf69d80

3942030720 has 512 divisors, whose sum is σ = 14276736000. Its totient is φ = 919863296.

The previous prime is 3942030713. The next prime is 3942030721. The reversal of 3942030720 is 270302493.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3942030721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44292436 + ... + 44292524.

It is an arithmetic number, because the mean of its divisors is an integer number (27884250).

Almost surely, 23942030720 is an apocalyptic number.

3942030720 is a gapful number since it is divisible by the number (30) 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 3942030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138368000).

3942030720 is an abundant number, since it is smaller than the sum of its proper divisors (10334705280).

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

3942030720 is a wasteful number, since it uses less digits than its factorization.

3942030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3942030720 is about 62785.5932519555. The cubic root of 3942030720 is about 1579.6953319512.

The spelling of 3942030720 in words is "three billion, nine hundred forty-two million, thirty thousand, seven hundred twenty".