Search a number
-
+
189708480 = 2634513563
BaseRepresentation
bin10110100111010…
…11100011000000
3111012222012010000
423103223203000
5342031132410
630454040000
74462331643
oct1323534300
9435865100
10189708480
11980a3875
1253649000
13303c2b50
141b2a3a5a
15119c4dc0
hexb4eb8c0

189708480 has 280 divisors, whose sum is σ = 728026992. Its totient is φ = 46614528.

The previous prime is 189708473. The next prime is 189708481. The reversal of 189708480 is 84807981.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (189708481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336679 + ... + 337241.

Almost surely, 2189708480 is an apocalyptic number.

189708480 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 189708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364013496).

189708480 is an abundant number, since it is smaller than the sum of its proper divisors (538318512).

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

189708480 is a wasteful number, since it uses less digits than its factorization.

189708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 189708480 is about 13773.4701509823. The cubic root of 189708480 is about 574.5955366073.

The spelling of 189708480 in words is "one hundred eighty-nine million, seven hundred eight thousand, four hundred eighty".