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136794000 = 2435373257
BaseRepresentation
bin10000010011101…
…00111110010000
3100112101212002110
420021310332100
5240004402000
621323545320
73250505220
oct1011647620
9315355073
10136794000
11702423a2
123998b240
1322456cc5
141424c080
15c021850
hex8274f90

136794000 has 160 divisors (see below), whose sum is σ = 504182016. Its totient is φ = 31257600.

The previous prime is 136793989. The next prime is 136794011. The reversal of 136794000 is 497631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136793989) and next prime (136794011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40372 + ... + 43628.

Almost surely, 2136794000 is an apocalyptic number.

136794000 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 136794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252091008).

136794000 is an abundant number, since it is smaller than the sum of its proper divisors (367388016).

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

136794000 is a wasteful number, since it uses less digits than its factorization.

136794000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 136794000 is about 11695.8967163702. The cubic root of 136794000 is about 515.2551599506.

The spelling of 136794000 in words is "one hundred thirty-six million, seven hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3257 3500 4200 5250 6000 6514 7000 8400 9771 10500 13028 14000 16285 19542 21000 22799 26056 32570 39084 42000 45598 48855 52112 65140 68397 78168 81425 91196 97710 113995 130280 136794 156336 162850 182392 195420 227990 244275 260560 273588 325700 341985 364784 390840 407125 455980 488550 547176 569975 651400 683970 781680 814250 911960 977100 1094352 1139950 1221375 1302800 1367940 1628500 1709925 1823920 1954200 2279900 2442750 2735880 2849875 3257000 3419850 3908400 4559800 4885500 5471760 5699750 6514000 6839700 8549625 9119600 9771000 11399500 13679400 17099250 19542000 22799000 27358800 34198500 45598000 68397000 136794000