Search a number
-
+
270973152 = 2532940879
BaseRepresentation
bin10000001001101…
…011100011100000
3200212212212021200
4100021223203200
51023332120102
642515521200
76500143122
oct2011534340
9625785250
10270973152
11129a5915a
12768b9200
13441a6a58
1427db9212
1518bc851c
hex1026b8e0

270973152 has 36 divisors (see below), whose sum is σ = 770580720. Its totient is φ = 90324288.

The previous prime is 270973147. The next prime is 270973207. The reversal of 270973152 is 251379072.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 470152 + ... + 470727.

It is an arithmetic number, because the mean of its divisors is an integer number (21405020).

Almost surely, 2270973152 is an apocalyptic number.

It is an amenable number.

270973152 is an abundant number, since it is smaller than the sum of its proper divisors (499607568).

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

270973152 is a wasteful number, since it uses less digits than its factorization.

270973152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940895 (or 940884 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 270973152 is about 16461.2621630299. The cubic root of 270973152 is about 647.1059916638.

The spelling of 270973152 in words is "two hundred seventy million, nine hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 940879 1881758 2822637 3763516 5645274 7527032 8467911 11290548 15054064 16935822 22581096 30108128 33871644 45162192 67743288 90324384 135486576 270973152