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1120493304 = 233371315657
BaseRepresentation
bin100001011001001…
…0101111011111000
32220002101221212000
41002302111323320
54243321241204
6303104021000
736524015220
oct10262257370
92802357760
101120493304
11525542227
12273301760
1314b1a77b8
14a8b55080
1568583039
hex42c95ef8

1120493304 has 128 divisors (see below), whose sum is σ = 3584908800. Its totient is φ = 317640960.

The previous prime is 1120493303. The next prime is 1120493321. The reversal of 1120493304 is 4033940211.

1120493304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120493303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195244 + ... + 200900.

It is an arithmetic number, because the mean of its divisors is an integer number (28007100).

Almost surely, 21120493304 is an apocalyptic number.

1120493304 is a gapful number since it is divisible by the number (14) 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 1120493304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792454400).

1120493304 is an abundant number, since it is smaller than the sum of its proper divisors (2464415496).

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

1120493304 is a wasteful number, since it uses less digits than its factorization.

1120493304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1120493304 is about 33473.7703881711. The cubic root of 1120493304 is about 1038.6512669259.

The spelling of 1120493304 in words is "one billion, one hundred twenty million, four hundred ninety-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 131 168 189 216 252 262 378 393 504 524 756 786 917 1048 1179 1512 1572 1834 2358 2751 3144 3537 3668 4716 5502 5657 7074 7336 8253 9432 11004 11314 14148 16506 16971 22008 22628 24759 28296 33012 33942 39599 45256 49518 50913 66024 67884 79198 99036 101826 118797 135768 152739 158396 198072 203652 237594 305478 316792 356391 407304 475188 610956 712782 741067 950376 1069173 1221912 1425564 1482134 2138346 2223201 2851128 2964268 4276692 4446402 5187469 5928536 6669603 8553384 8892804 10374938 13339206 15562407 17785608 20008809 20749876 26678412 31124814 40017618 41499752 46687221 53356824 62249628 80035236 93374442 124499256 140061663 160070472 186748884 280123326 373497768 560246652 1120493304