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1139334000 = 24353727127
BaseRepresentation
bin100001111101000…
…1101101101110000
32221101212011102120
41003322031231300
54313132142000
6305015514240
740143115320
oct10372155560
92841764376
101139334000
11535140552
12279688980
1315207333c
14ab45b280
156a0556a0
hex43e8db70

1139334000 has 160 divisors (see below), whose sum is σ = 4198112256. Its totient is φ = 260409600.

The previous prime is 1139333959. The next prime is 1139334011. The reversal of 1139334000 is 4339311.

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

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, 28437 + ... + 55563.

Almost surely, 21139334000 is an apocalyptic number.

1139334000 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 1139334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099056128).

1139334000 is an abundant number, since it is smaller than the sum of its proper divisors (3058778256).

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

1139334000 is a wasteful number, since it uses less digits than its factorization.

1139334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27160 (or 27144 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 1139334000 is about 33754.0219825727. The cubic root of 1139334000 is about 1044.4404565346.

The spelling of 1139334000 in words is "one billion, one hundred thirty-nine million, three hundred thirty-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 3500 4200 5250 6000 7000 8400 10500 14000 21000 27127 42000 54254 81381 108508 135635 162762 189889 217016 271270 325524 379778 406905 434032 542540 569667 651048 678175 759556 813810 949445 1085080 1139334 1302096 1356350 1519112 1627620 1898890 2034525 2170160 2278668 2712700 2848335 3038224 3255240 3390875 3797780 4069050 4557336 4747225 5425400 5696670 6510480 6781750 7595560 8138100 9114672 9494450 10172625 10850800 11393340 13563500 14241675 15191120 16276200 18988900 20345250 22786680 23736125 27127000 28483350 32552400 37977800 40690500 45573360 47472250 54254000 56966700 71208375 75955600 81381000 94944500 113933400 142416750 162762000 189889000 227866800 284833500 379778000 569667000 1139334000