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1139139072 = 2933194337
BaseRepresentation
bin100001111100101…
…1110001000000000
32221101111021001000
41003321132020000
54313104422242
6305011412000
740141344111
oct10371361000
92841437030
101139139072
11535018055
122795b4000
131520056b6
14ab40a208
156a017a4c
hex43e5e200

1139139072 has 160 divisors (see below), whose sum is σ = 3550219200. Its totient is φ = 359645184.

The previous prime is 1139139049. The next prime is 1139139103. The reversal of 1139139072 is 2709319311.

It is a happy number.

1139139072 is a `hidden beast` number, since 113 + 91 + 390 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260488 + ... + 264824.

It is an arithmetic number, because the mean of its divisors is an integer number (22188870).

Almost surely, 21139139072 is an apocalyptic number.

1139139072 is a gapful number since it is divisible by the number (12) 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 1139139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775109600).

1139139072 is an abundant number, since it is smaller than the sum of its proper divisors (2411080128).

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

1139139072 is an equidigital number, since it uses as much as digits as its factorization.

1139139072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 1139139072 is about 33751.1343809360. The cubic root of 1139139072 is about 1044.3808888979.

The spelling of 1139139072 in words is "one billion, one hundred thirty-nine million, one hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 912 1026 1152 1216 1368 1536 1728 1824 2052 2304 2432 2736 3456 3648 4104 4337 4608 4864 5472 6912 7296 8208 8674 9728 10944 13011 13824 14592 16416 17348 21888 26022 29184 32832 34696 39033 43776 52044 65664 69392 78066 82403 87552 104088 117099 131328 138784 156132 164806 208176 234198 247209 262656 277568 312264 329612 416352 468396 494418 555136 624528 659224 741627 832704 936792 988836 1110272 1249056 1318448 1483254 1665408 1873584 1977672 2220544 2224881 2498112 2636896 2966508 3330816 3747168 3955344 4449762 4996224 5273792 5933016 6661632 7494336 7910688 8899524 9992448 10547584 11866032 14988672 15821376 17799048 19984896 21095168 23732064 29977344 31642752 35598096 42190336 47464128 59954688 63285504 71196192 94928256 126571008 142392384 189856512 284784768 379713024 569569536 1139139072