Search a number
-
+
134077200 = 24352111731
BaseRepresentation
bin1111111110111…
…01101100010000
3100100021211100020
413333131230100
5233310432300
621145423440
73215431425
oct777355420
9310254306
10134077200
1169757204
1238a9ab80
1321a1552a
1413b41d4c
15bb868a0
hex7fddb10

134077200 has 60 divisors (see below), whose sum is σ = 429497808. Its totient is φ = 35753600.

The previous prime is 134077171. The next prime is 134077213. The reversal of 134077200 is 2770431.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54666 + ... + 57065.

Almost surely, 2134077200 is an apocalyptic number.

134077200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134077200 is an abundant number, since it is smaller than the sum of its proper divisors (295420608).

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

134077200 is a wasteful number, since it uses less digits than its factorization.

134077200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111752 (or 111741 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 134077200 is about 11579.1709547791. The cubic root of 134077200 is about 511.8212470073.

The spelling of 134077200 in words is "one hundred thirty-four million, seventy-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 111731 223462 335193 446924 558655 670386 893848 1117310 1340772 1675965 1787696 2234620 2681544 2793275 3351930 4469240 5363088 5586550 6703860 8379825 8938480 11173100 13407720 16759650 22346200 26815440 33519300 44692400 67038600 134077200