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1139192000 = 2653157907
BaseRepresentation
bin100001111100110…
…1011000011000000
32221101120221122022
41003321223003000
54313113121000
6305012501012
740141654322
oct10371530300
92841527568
101139192000
115350538a1
1227961a768
1315202380b
14ab421612
156a028585
hex43e6b0c0

1139192000 has 112 divisors (see below), whose sum is σ = 2842308768. Its totient is φ = 452275200.

The previous prime is 1139191993. The next prime is 1139192039. The reversal of 1139192000 is 2919311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255547 + ... + 1256453.

Almost surely, 21139192000 is an apocalyptic number.

1139192000 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 1139192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421154384).

1139192000 is an abundant number, since it is smaller than the sum of its proper divisors (1703116768).

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

1139192000 is an equidigital number, since it uses as much as digits as its factorization.

1139192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 1139192000 is about 33751.9184639925. The cubic root of 1139192000 is about 1044.3970637259.

The spelling of 1139192000 in words is "one billion, one hundred thirty-nine million, one hundred ninety-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 157 160 200 250 314 320 400 500 628 785 800 907 1000 1256 1570 1600 1814 2000 2512 3140 3628 3925 4000 4535 5024 6280 7256 7850 8000 9070 10048 12560 14512 15700 18140 19625 22675 25120 29024 31400 36280 39250 45350 50240 58048 62800 72560 78500 90700 113375 125600 142399 145120 157000 181400 226750 251200 284798 290240 314000 362800 453500 569596 628000 711995 725600 907000 1139192 1256000 1423990 1451200 1814000 2278384 2847980 3559975 3628000 4556768 5695960 7119950 7256000 9113536 11391920 14239900 17799875 22783840 28479800 35599750 45567680 56959600 71199500 113919200 142399000 227838400 284798000 569596000 1139192000