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161046240 = 25353179137
BaseRepresentation
bin10011001100101…
…01111011100000
3102020000222220120
421212111323200
5312211434430
623551440240
73663604365
oct1146257340
9366028816
10161046240
11829a7473
1245b26080
1327498a44
141756246c
15e212610
hex9995ee0

161046240 has 192 divisors, whose sum is σ = 534159360. Its totient is φ = 40734720.

The previous prime is 161046239. The next prime is 161046241. The reversal of 161046240 is 42640161.

161046240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161046239) and next prime (161046241).

It is a super-3 number, since 3×1610462403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 161046240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161046241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175452 + ... + 1175588.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 2161046240 is an apocalyptic number.

161046240 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 161046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267079680).

161046240 is an abundant number, since it is smaller than the sum of its proper divisors (373113120).

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

161046240 is a wasteful number, since it uses less digits than its factorization.

161046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 161046240 is about 12690.3995208977. The cubic root of 161046240 is about 544.0642585570.

The spelling of 161046240 in words is "one hundred sixty-one million, forty-six thousand, two hundred forty".