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134393000 = 2353773263
BaseRepresentation
bin10000000001010…
…10110010101000
3100100212212112112
420000222302220
5233401034000
621200301452
73221215220
oct1000526250
9310785475
10134393000
11699524a5
1239011888
1321ac61b1
1413bc5080
15bbea235
hex802aca8

134393000 has 128 divisors (see below), whose sum is σ = 365713920. Its totient is φ = 45273600.

The previous prime is 134392997. The next prime is 134393003. The reversal of 134393000 is 393431.

It is an interprime number because it is at equal distance from previous prime (134392997) and next prime (134393003).

It is a super-2 number, since 2×1343930002 = 36122956898000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134393003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510869 + ... + 511131.

It is an arithmetic number, because the mean of its divisors is an integer number (2857140).

Almost surely, 2134393000 is an apocalyptic number.

134393000 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 134393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182856960).

134393000 is an abundant number, since it is smaller than the sum of its proper divisors (231320920).

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

134393000 is a wasteful number, since it uses less digits than its factorization.

134393000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 134393000 is about 11592.7994893382. The cubic root of 134393000 is about 512.2227729297. Note that the first 3 decimals are identical.

The spelling of 134393000 in words is "one hundred thirty-four million, three hundred ninety-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 73 100 125 140 146 175 200 250 263 280 292 350 365 500 511 526 584 700 730 875 1000 1022 1052 1315 1400 1460 1750 1825 1841 2044 2104 2555 2630 2920 3500 3650 3682 4088 5110 5260 6575 7000 7300 7364 9125 9205 10220 10520 12775 13150 14600 14728 18250 18410 19199 20440 25550 26300 32875 36500 36820 38398 46025 51100 52600 63875 65750 73000 73640 76796 92050 95995 102200 127750 131500 134393 153592 184100 191990 230125 255500 263000 268786 368200 383980 460250 479975 511000 537572 671965 767960 920500 959950 1075144 1343930 1841000 1919900 2399875 2687860 3359825 3839800 4799750 5375720 6719650 9599500 13439300 16799125 19199000 26878600 33598250 67196500 134393000