Search a number
-
+
70198128 = 243271113487
BaseRepresentation
bin1000010111100…
…10001101110000
311220002102201200
410023302031300
5120432320003
610544331200
71511450160
oct413621560
9156072650
1070198128
1136696990
121b613b00
131170aa70
1494745a0
1562696a3
hex42f2370

70198128 has 240 divisors, whose sum is σ = 264316416. Its totient is φ = 16796160.

The previous prime is 70198097. The next prime is 70198133. The reversal of 70198128 is 82189107.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 70198092 and 70198101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143901 + ... + 144387.

Almost surely, 270198128 is an apocalyptic number.

70198128 is a gapful number since it is divisible by the number (78) 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 70198128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132158208).

70198128 is an abundant number, since it is smaller than the sum of its proper divisors (194118288).

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

70198128 is a wasteful number, since it uses less digits than its factorization.

70198128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 70198128 is about 8378.4323115962. The cubic root of 70198128 is about 412.5169932393.

The spelling of 70198128 in words is "seventy million, one hundred ninety-eight thousand, one hundred twenty-eight".