Search a number
-
+
1014200440 = 235116734403
BaseRepresentation
bin111100011100110…
…111100001111000
32121200101201110021
4330130313201320
54034113403230
6244345500224
734063363411
oct7434674170
92550351407
101014200440
11480542890
122437a1674
1313216c906
14989a6808
155e088c7a
hex3c737878

1014200440 has 64 divisors (see below), whose sum is σ = 2526629760. Its totient is φ = 363285120.

The previous prime is 1014200431. The next prime is 1014200443. The reversal of 1014200440 is 440024101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014200443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12279 + ... + 46681.

It is an arithmetic number, because the mean of its divisors is an integer number (39478590).

Almost surely, 21014200440 is an apocalyptic number.

1014200440 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 1014200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263314880).

1014200440 is an abundant number, since it is smaller than the sum of its proper divisors (1512429320).

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

1014200440 is a wasteful number, since it uses less digits than its factorization.

1014200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34492 (or 34488 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1014200440 is about 31846.5137809463. The cubic root of 1014200440 is about 1004.7112492735.

Adding to 1014200440 its reverse (440024101), we get a palindrome (1454224541).

The spelling of 1014200440 in words is "one billion, fourteen million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1340 1474 2680 2948 3685 5896 7370 14740 29480 34403 68806 137612 172015 275224 344030 378433 688060 756866 1376120 1513732 1892165 2305001 3027464 3784330 4610002 7568660 9220004 11525005 15137320 18440008 23050010 25355011 46100020 50710022 92200040 101420044 126775055 202840088 253550110 507100220 1014200440