[go: up one dir, main page]

Search a number
-
+
1114055700 = 2235259113557
BaseRepresentation
bin100001001100111…
…0010010000010100
32212122021220010020
41002121302100110
54240144240300
6302314025140
736415213542
oct10231622024
92778256106
101114055700
1152194559a
122711181b0
13149a62574
14a7d5ad92
1567c108a0
hex42672414

1114055700 has 144 divisors (see below), whose sum is σ = 3312912960. Its totient is φ = 288942080.

The previous prime is 1114055689. The next prime is 1114055743. The reversal of 1114055700 is 75504111.

It is a super-2 number, since 2×11140557002 = 2482240205404980000, 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1999822 + ... + 2000378.

It is an arithmetic number, because the mean of its divisors is an integer number (23006340).

Almost surely, 21114055700 is an apocalyptic number.

1114055700 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 1114055700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656456480).

1114055700 is an abundant number, since it is smaller than the sum of its proper divisors (2198857260).

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

1114055700 is a wasteful number, since it uses less digits than its factorization.

1114055700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 1114055700 is about 33377.4729420907. The cubic root of 1114055700 is about 1036.6583138229.

Adding to 1114055700 its reverse (75504111), we get a palindrome (1189559811).

The spelling of 1114055700 in words is "one billion, one hundred fourteen million, fifty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 113 118 150 177 226 236 295 300 339 354 452 557 565 590 678 708 885 1114 1130 1180 1356 1475 1671 1695 1770 2228 2260 2785 2825 2950 3342 3390 3540 4425 5570 5650 5900 6667 6684 6780 8355 8475 8850 11140 11300 13334 13925 16710 16950 17700 20001 26668 27850 32863 33335 33420 33900 40002 41775 55700 62941 65726 66670 80004 83550 98589 100005 125882 131452 133340 164315 166675 167100 188823 197178 200010 251764 314705 328630 333350 377646 394356 400020 492945 500025 629410 657260 666700 755292 821575 944115 985890 1000050 1258820 1573525 1643150 1888230 1971780 2000100 2464725 3147050 3286300 3713519 3776460 4720575 4929450 6294100 7427038 9441150 9858900 11140557 14854076 18567595 18882300 22281114 37135190 44562228 55702785 74270380 92837975 111405570 185675950 222811140 278513925 371351900 557027850 1114055700