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1114054240 = 255131015303
BaseRepresentation
bin100001001100111…
…0001111001100000
32212122021211010011
41002121301321200
54240144213430
6302314014304
736415206355
oct10231617140
92778254104
101114054240
11521944492
12271117394
13149a619c0
14a7d5a62c
1567c1022a
hex42671e60

1114054240 has 96 divisors (see below), whose sum is σ = 2863014336. Its totient is φ = 407193600.

The previous prime is 1114054237. The next prime is 1114054297. The reversal of 1114054240 is 424504111.

It is a super-2 number, since 2×11140542402 = 2482233699323955200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 207429 + ... + 212731.

It is an arithmetic number, because the mean of its divisors is an integer number (29823066).

Almost surely, 21114054240 is an apocalyptic number.

1114054240 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 1114054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431507168).

1114054240 is an abundant number, since it is smaller than the sum of its proper divisors (1748960096).

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

1114054240 is a wasteful number, since it uses less digits than its factorization.

1114054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1114054240 is about 33377.4510710450. The cubic root of 1114054240 is about 1036.6578609665.

Adding to 1114054240 its reverse (424504111), we get a palindrome (1538558351).

The spelling of 1114054240 in words is "one billion, one hundred fourteen million, fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 101 104 130 160 202 208 260 404 416 505 520 808 1010 1040 1313 1616 2020 2080 2626 3232 4040 5252 5303 6565 8080 10504 10606 13130 16160 21008 21212 26260 26515 42016 42424 52520 53030 68939 84848 105040 106060 137878 169696 210080 212120 275756 344695 424240 535603 551512 689390 848480 1071206 1103024 1378780 2142412 2206048 2678015 2757560 4284824 5356030 5515120 6962839 8569648 10712060 11030240 13925678 17139296 21424120 27851356 34814195 42848240 55702712 69628390 85696480 111405424 139256780 222810848 278513560 557027120 1114054240