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1082389120 = 27537431063
BaseRepresentation
bin100000010000011…
…1111001010000000
32210102201001201221
41000200333022000
54204042422440
6255223204424
735552104261
oct10040771200
92712631657
101082389120
11505a86a6a
122625a6714
13143325b47
14a3a76968
1565057d4a
hex4083f280

1082389120 has 128 divisors (see below), whose sum is σ = 2721882240. Its totient is φ = 411070464.

The previous prime is 1082389103. The next prime is 1082389153. The reversal of 1082389120 is 219832801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 1017709 + ... + 1018771.

It is an arithmetic number, because the mean of its divisors is an integer number (21264705).

Almost surely, 21082389120 is an apocalyptic number.

1082389120 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 1082389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360941120).

1082389120 is an abundant number, since it is smaller than the sum of its proper divisors (1639493120).

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

1082389120 is a wasteful number, since it uses less digits than its factorization.

1082389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1082389120 is about 32899.6826732417. The cubic root of 1082389120 is about 1026.7415548529.

The spelling of 1082389120 in words is "one billion, eighty-two million, three hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 43 64 74 80 86 128 148 160 172 185 215 296 320 344 370 430 592 640 688 740 860 1063 1184 1376 1480 1591 1720 2126 2368 2752 2960 3182 3440 4252 4736 5315 5504 5920 6364 6880 7955 8504 10630 11840 12728 13760 15910 17008 21260 23680 25456 27520 31820 34016 39331 42520 45709 50912 63640 68032 78662 85040 91418 101824 127280 136064 157324 170080 182836 196655 203648 228545 254560 314648 340160 365672 393310 457090 509120 629296 680320 731344 786620 914180 1018240 1258592 1462688 1573240 1691233 1828360 2517184 2925376 3146480 3382466 3656720 5034368 5850752 6292960 6764932 7313440 8456165 12585920 13529864 14626880 16912330 25171840 27059728 29253760 33824660 54119456 67649320 108238912 135298640 216477824 270597280 541194560 1082389120