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1096401120 = 253519111959
BaseRepresentation
bin100000101011001…
…1100000011100000
32211102001221120220
41001112130003200
54221134313440
6300443403040
736112153503
oct10126340340
92742057526
101096401120
11512987431
12267223480
131461c0879
14a588313a
15663c48d0
hex4159c0e0

1096401120 has 96 divisors (see below), whose sum is σ = 3472035840. Its totient is φ = 290818560.

The previous prime is 1096401107. The next prime is 1096401121. The reversal of 1096401120 is 211046901.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1096401121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85701 + ... + 97659.

It is an arithmetic number, because the mean of its divisors is an integer number (36167040).

Almost surely, 21096401120 is an apocalyptic number.

1096401120 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 1096401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736017920).

1096401120 is an abundant number, since it is smaller than the sum of its proper divisors (2375634720).

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

1096401120 is a wasteful number, since it uses less digits than its factorization.

1096401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1096401120 is about 33111.9482966497. The cubic root of 1096401120 is about 1031.1531120729.

The spelling of 1096401120 in words is "one billion, ninety-six million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 191 240 382 480 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 6112 7640 9168 11460 11959 15280 18336 22920 23918 30560 35877 45840 47836 59795 71754 91680 95672 119590 143508 179385 191344 239180 287016 358770 382688 478360 574032 717540 956720 1148064 1435080 1913440 2284169 2870160 4568338 5740320 6852507 9136676 11420845 13705014 18273352 22841690 27410028 34262535 36546704 45683380 54820056 68525070 73093408 91366760 109640112 137050140 182733520 219280224 274100280 365467040 548200560 1096401120