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134002400 = 2552723929
BaseRepresentation
bin1111111110010…
…11011011100000
3100100011000201212
413333023123200
5233301034100
621144045252
73215000360
oct777133340
9310130655
10134002400
1169705a94
1238a63828
13219ba47c
1413b229a0
15bb6e635
hex7fcb6e0

134002400 has 72 divisors (see below), whose sum is σ = 373882320. Its totient is φ = 45941760.

The previous prime is 134002373. The next prime is 134002411. The reversal of 134002400 is 4200431.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 6365 + ... + 17564.

It is an arithmetic number, because the mean of its divisors is an integer number (5192810).

Almost surely, 2134002400 is an apocalyptic number.

134002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134002400 is an abundant number, since it is smaller than the sum of its proper divisors (239879920).

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

134002400 is a wasteful number, since it uses less digits than its factorization.

134002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23956 (or 23943 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 134002400 is about 11575.9405665371. The cubic root of 134002400 is about 511.7260497356.

Adding to 134002400 its reverse (4200431), we get a palindrome (138202831).

The spelling of 134002400 in words is "one hundred thirty-four million, two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 23929 47858 95716 119645 167503 191432 239290 335006 382864 478580 598225 670012 765728 837515 957160 1196450 1340024 1675030 1914320 2392900 2680048 3350060 3828640 4187575 4785800 5360096 6700120 8375150 9571600 13400240 16750300 19143200 26800480 33500600 67001200 134002400