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1114056636 = 2237113973037
BaseRepresentation
bin100001001100111…
…0010011110111100
32212122021221101220
41002121302132330
54240144303021
6302314033340
736415216350
oct10231623674
92778257356
101114056636
11521946270
12271118850
13149a62b14
14a7d5b460
1567c10cc6
hex426727bc

1114056636 has 96 divisors (see below), whose sum is σ = 3250125312. Its totient is φ = 288541440.

The previous prime is 1114056623. The next prime is 1114056653. The reversal of 1114056636 is 6366504111.

1114056636 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11140566362 = 2482244376431272992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1114056597 and 1114056606.

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, 365310 + ... + 368346.

It is an arithmetic number, because the mean of its divisors is an integer number (33855472).

Almost surely, 21114056636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114056636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625062656).

1114056636 is an abundant number, since it is smaller than the sum of its proper divisors (2136068676).

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

1114056636 is a wasteful number, since it uses less digits than its factorization.

1114056636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1114056636 is about 33377.4869635208. The cubic root of 1114056636 is about 1036.6586041471.

It can be divided in two parts, 11140 and 56636, that added together give a palindrome (67776).

The spelling of 1114056636 in words is "one billion, one hundred fourteen million, fifty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 397 462 794 924 1191 1588 2382 2779 3037 4367 4764 5558 6074 8337 8734 9111 11116 12148 13101 16674 17468 18222 21259 26202 30569 33348 33407 36444 42518 52404 61138 63777 66814 85036 91707 100221 122276 127554 133628 183414 200442 233849 255108 366828 400884 467698 701547 935396 1205689 1403094 2411378 2806188 3617067 4822756 7234134 8439823 13262579 14468268 16879646 25319469 26525158 33759292 39787737 50638938 53050316 79575474 92838053 101277876 159150948 185676106 278514159 371352212 557028318 1114056636