Search a number
-
+
115347072 = 2731312293
BaseRepresentation
bin1101110000000…
…00111010000000
322001001020102210
412320000322000
5214012101242
615240142120
72600301561
oct670007200
9261036383
10115347072
115a123a65
1232767940
131ab88109
1411468168
15a1d6d9c
hex6e00e80

115347072 has 64 divisors (see below), whose sum is σ = 308864160. Its totient is φ = 38138880.

The previous prime is 115347061. The next prime is 115347077. The reversal of 115347072 is 270743511.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (115347077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49158 + ... + 51450.

Almost surely, 2115347072 is an apocalyptic number.

115347072 is a gapful number since it is divisible by the number (12) 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 115347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154432080).

115347072 is an abundant number, since it is smaller than the sum of its proper divisors (193517088).

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

115347072 is a wasteful number, since it uses less digits than its factorization.

115347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 115347072 is about 10739.9754189663. The cubic root of 115347072 is about 486.7831367785.

The spelling of 115347072 in words is "one hundred fifteen million, three hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 1048 1572 2096 2293 3144 4192 4586 6288 6879 8384 9172 12576 13758 16768 18344 25152 27516 36688 50304 55032 73376 110064 146752 220128 293504 300383 440256 600766 880512 901149 1201532 1802298 2403064 3604596 4806128 7209192 9612256 14418384 19224512 28836768 38449024 57673536 115347072