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1114294000 = 24531912917
BaseRepresentation
bin100001001101010…
…1100011011110000
32212122202000000011
41002122230123300
54240224402000
6302323104304
736420225361
oct10232543360
92778660004
101114294000
11521a98636
12271212094
13149b16b81
14a7dbdb68
1567c5b2ba
hex426ac6f0

1114294000 has 80 divisors (see below), whose sum is σ = 2709398016. Its totient is φ = 443232000.

The previous prime is 1114293953. The next prime is 1114294003. The reversal of 1114294000 is 4924111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11142940002 = 2483302236872000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114294003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380542 + ... + 383458.

Almost surely, 21114294000 is an apocalyptic number.

1114294000 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 1114294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354699008).

1114294000 is an abundant number, since it is smaller than the sum of its proper divisors (1595104016).

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

1114294000 is a wasteful number, since it uses less digits than its factorization.

1114294000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1114294000 is about 33381.0425241633. The cubic root of 1114294000 is about 1036.7322233723.

The spelling of 1114294000 in words is "one billion, one hundred fourteen million, two hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 191 200 250 382 400 500 764 955 1000 1528 1910 2000 2917 3056 3820 4775 5834 7640 9550 11668 14585 15280 19100 23336 23875 29170 38200 46672 47750 58340 72925 76400 95500 116680 145850 191000 233360 291700 364625 382000 557147 583400 729250 1114294 1166800 1458500 2228588 2785735 2917000 4457176 5571470 5834000 8914352 11142940 13928675 22285880 27857350 44571760 55714700 69643375 111429400 139286750 222858800 278573500 557147000 1114294000