Search a number
-
+
270394740 = 223357211929
BaseRepresentation
bin10000000111011…
…110010101110100
3200211210110212000
4100013132111310
51023210112430
642455255300
76462213600
oct2007362564
9624713760
10270394740
111296a3630
127667a530
13440336b5
1427ca8500
1518b11e60
hex101de574

270394740 has 288 divisors, whose sum is σ = 1068681600. Its totient is φ = 56125440.

The previous prime is 270394723. The next prime is 270394759. The reversal of 270394740 is 47493072.

It is a super-2 number, since 2×2703947402 = 146226630839335200, which contains 22 as substring.

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 = 270394695 and 270394704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290596 + ... + 291524.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2270394740 is an apocalyptic number.

270394740 is a gapful number since it is divisible by the number (20) 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 270394740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800).

270394740 is an abundant number, since it is smaller than the sum of its proper divisors (798286860).

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

270394740 is a wasteful number, since it uses less digits than its factorization.

270394740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 270394740 is about 16443.6838938238. The cubic root of 270394740 is about 646.6452319864.

The spelling of 270394740 in words is "two hundred seventy million, three hundred ninety-four thousand, seven hundred forty".