Search a number
-
+
283146240 = 2113513709
BaseRepresentation
bin10000111000000…
…111100000000000
3201201210022121210
4100320013200000
51034441134430
644032450120
710005463146
oct2070074000
9651708553
10283146240
11135912a63
127a9a9940
1346879770
1429867596
1519cd02b0
hex10e07800

283146240 has 192 divisors, whose sum is σ = 976903200. Its totient is φ = 69599232.

The previous prime is 283146229. The next prime is 283146277. The reversal of 283146240 is 42641382.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2831462402 = 160343586452275200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 283146198 and 283146207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399006 + ... + 399714.

Almost surely, 2283146240 is an apocalyptic number.

283146240 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 283146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488451600).

283146240 is an abundant number, since it is smaller than the sum of its proper divisors (693756960).

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

283146240 is a wasteful number, since it uses less digits than its factorization.

283146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 283146240 is about 16826.9498127260. The cubic root of 283146240 is about 656.6545123308.

The spelling of 283146240 in words is "two hundred eighty-three million, one hundred forty-six thousand, two hundred forty".