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1114454000 = 245311179283
BaseRepresentation
bin100001001101101…
…0011011111110000
32212200001010111002
41002123103133300
54240300012000
6302330341132
736421463012
oct10233233760
92780033432
101114454000
11522097870
1227128a7a8
13149b7194a
14a80221b2
1567c8d8d5
hex426d37f0

1114454000 has 160 divisors (see below), whose sum is σ = 2966595840. Its totient is φ = 401568000.

The previous prime is 1114453997. The next prime is 1114454017. The reversal of 1114454000 is 4544111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3937859 + ... + 3938141.

It is an arithmetic number, because the mean of its divisors is an integer number (18541224).

Almost surely, 21114454000 is an apocalyptic number.

1114454000 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 1114454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483297920).

1114454000 is an abundant number, since it is smaller than the sum of its proper divisors (1852141840).

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

1114454000 is a wasteful number, since it uses less digits than its factorization.

1114454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1114454000 is about 33383.4390079872. The cubic root of 1114454000 is about 1036.7818419999.

Adding to 1114454000 its reverse (4544111), we get a palindrome (1118998111).

The spelling of 1114454000 in words is "one billion, one hundred fourteen million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 179 200 220 250 275 283 358 400 440 500 550 566 716 880 895 1000 1100 1132 1375 1415 1432 1790 1969 2000 2200 2264 2750 2830 2864 3113 3580 3938 4400 4475 4528 5500 5660 6226 7075 7160 7876 8950 9845 11000 11320 12452 14150 14320 15565 15752 17900 19690 22000 22375 22640 24904 28300 31130 31504 35375 35800 39380 44750 49225 49808 50657 56600 62260 70750 71600 77825 78760 89500 98450 101314 113200 124520 141500 155650 157520 179000 196900 202628 246125 249040 253285 283000 311300 358000 389125 393800 405256 492250 506570 557227 566000 622600 778250 787600 810512 984500 1013140 1114454 1245200 1266425 1556500 1969000 2026280 2228908 2532850 2786135 3113000 3938000 4052560 4457816 5065700 5572270 6226000 6332125 8915632 10131400 11144540 12664250 13930675 20262800 22289080 25328500 27861350 44578160 50657000 55722700 69653375 101314000 111445400 139306750 222890800 278613500 557227000 1114454000