Search a number
-
+
134507400 = 233521713187
BaseRepresentation
bin10000000010001…
…10101110001000
3100101002200110120
420001012232020
5233413214100
621202543240
73222202566
oct1001065610
9311080416
10134507400
1169a20445
1239067b20
1321b362a1
1413c14a36
15bc1e0a0
hex8046b88

134507400 has 96 divisors (see below), whose sum is σ = 441534240. Its totient is φ = 33756160.

The previous prime is 134507389. The next prime is 134507407. The reversal of 134507400 is 4705431.

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

It is not an unprimeable number, because it can be changed into a prime (134507407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3607 + ... + 16793.

It is an arithmetic number, because the mean of its divisors is an integer number (4599315).

Almost surely, 2134507400 is an apocalyptic number.

134507400 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 134507400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220767120).

134507400 is an abundant number, since it is smaller than the sum of its proper divisors (307026840).

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

134507400 is a wasteful number, since it uses less digits than its factorization.

134507400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13223 (or 13214 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 134507400 is about 11597.7325370091. The cubic root of 134507400 is about 512.3680723281.

The spelling of 134507400 in words is "one hundred thirty-four million, five hundred seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 13187 26374 39561 52748 65935 79122 105496 131870 158244 197805 224179 263740 316488 329675 395610 448358 527480 659350 672537 791220 896716 989025 1120895 1318700 1345074 1582440 1793432 1978050 2241790 2637400 2690148 3362685 3956100 4483580 5380296 5604475 6725370 7912200 8967160 11208950 13450740 16813425 22417900 26901480 33626850 44835800 67253700 134507400