Search a number
-
+
153930000 = 243547733
BaseRepresentation
bin10010010110011…
…00100100010000
3101201122110021010
421023030210100
5303401230000
623135130520
73546245340
oct1113144420
9351573233
10153930000
1179986984
1243673a40
1325b76953
141662cd20
15d7a8d50
hex92cc910

153930000 has 200 divisors, whose sum is σ = 568667968. Its totient is φ = 35136000.

The previous prime is 153929983. The next prime is 153930041. The reversal of 153930000 is 39351.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209634 + ... + 210366.

Almost surely, 2153930000 is an apocalyptic number.

153930000 is a gapful number since it is divisible by the number (10) 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 153930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284333984).

153930000 is an abundant number, since it is smaller than the sum of its proper divisors (414737968).

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

153930000 is an equidigital number, since it uses as much as digits as its factorization.

153930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 153930000 is about 12406.8529450461. The cubic root of 153930000 is about 535.9296150245.

Adding to 153930000 its reverse (39351), we get a palindrome (153969351).

The spelling of 153930000 in words is "one hundred fifty-three million, nine hundred thirty thousand".