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1114741400 = 235219319463
BaseRepresentation
bin100001001110001…
…1001101010011000
32212200120201201112
41002130121222120
54240333211100
6302340435452
736424100633
oct10234315230
92780521645
101114741400
11522273793
122713a8b88
13149c426c6
14a8098c1a
1567ce8b35
hex42719a98

1114741400 has 96 divisors (see below), whose sum is σ = 2816486400. Its totient is φ = 408758400.

The previous prime is 1114741399. The next prime is 1114741409. The reversal of 1114741400 is 41474111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114741409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 113069 + ... + 122531.

It is an arithmetic number, because the mean of its divisors is an integer number (29338400).

Almost surely, 21114741400 is an apocalyptic number.

1114741400 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 1114741400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408243200).

1114741400 is an abundant number, since it is smaller than the sum of its proper divisors (1701745000).

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

1114741400 is a wasteful number, since it uses less digits than its factorization.

1114741400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9529 (or 9520 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 1114741400 is about 33387.7432600648. The cubic root of 1114741400 is about 1036.8709575342.

The spelling of 1114741400 in words is "one billion, one hundred fourteen million, seven hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 31 38 40 50 62 76 95 100 124 152 155 190 200 248 310 380 475 589 620 760 775 950 1178 1240 1550 1900 2356 2945 3100 3800 4712 5890 6200 9463 11780 14725 18926 23560 29450 37852 47315 58900 75704 94630 117800 179797 189260 236575 293353 359594 378520 473150 586706 719188 898985 946300 1173412 1438376 1466765 1797970 1892600 2346824 2933530 3595940 4494925 5573707 5867060 7191880 7333825 8989850 11147414 11734120 14667650 17979700 22294828 27868535 29335300 35959400 44589656 55737070 58670600 111474140 139342675 222948280 278685350 557370700 1114741400