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1114032416 = 25723216233
BaseRepresentation
bin100001001100110…
…1100100100100000
32212122020201011212
41002121230210200
54240143014131
6302313325252
736415055630
oct10231544440
92778221155
101114032416
1152192a052
12271106828
13149a54aa3
14a7d526c0
1567c08a2b
hex4266c920

1114032416 has 48 divisors (see below), whose sum is σ = 2615566464. Its totient is φ = 456681984.

The previous prime is 1114032401. The next prime is 1114032449. The reversal of 1114032416 is 6142304111.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1114032391 and 1114032400.

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 7 ways as a sum of consecutive naturals, for example, 102965 + ... + 113268.

It is an arithmetic number, because the mean of its divisors is an integer number (54490968).

Almost surely, 21114032416 is an apocalyptic number.

1114032416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1114032416 is an abundant number, since it is smaller than the sum of its proper divisors (1501534048).

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

1114032416 is a wasteful number, since it uses less digits than its factorization.

1114032416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216273 (or 216265 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1114032416 is about 33377.1241421426. The cubic root of 1114032416 is about 1036.6510916465.

Adding to 1114032416 its reverse (6142304111), we get a palindrome (7256336527).

The spelling of 1114032416 in words is "one billion, one hundred fourteen million, thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 216233 432466 864932 1513631 1729864 3027262 3459728 4973359 6054524 6919456 9946718 12109048 19893436 24218096 34813513 39786872 48436192 69627026 79573744 139254052 159147488 278508104 557016208 1114032416