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1014045252 = 22311231013307
BaseRepresentation
bin111100011100010…
…001101001000100
32121200002211120120
4330130101221010
54034043422002
6244342301540
734062146103
oct7434215104
92550084516
101014045252
11480447230
122437278b0
1313211709c
149896603a
155e057cbc
hex3c711a44

1014045252 has 96 divisors (see below), whose sum is σ = 2720922624. Its totient is φ = 290928000.

The previous prime is 1014045211. The next prime is 1014045283. The reversal of 1014045252 is 2525404101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304983 + ... + 308289.

It is an arithmetic number, because the mean of its divisors is an integer number (28342944).

Almost surely, 21014045252 is an apocalyptic number.

1014045252 is a gapful number since it is divisible by the number (12) 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 1014045252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360461312).

1014045252 is an abundant number, since it is smaller than the sum of its proper divisors (1706877372).

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

1014045252 is a wasteful number, since it uses less digits than its factorization.

1014045252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1014045252 is about 31844.0771887018. The cubic root of 1014045252 is about 1004.6600013227.

Adding to 1014045252 its reverse (2525404101), we get a palindrome (3539449353).

The spelling of 1014045252 in words is "one billion, fourteen million, forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 101 132 138 202 253 276 303 404 506 606 759 1012 1111 1212 1518 2222 2323 3036 3307 3333 4444 4646 6614 6666 6969 9292 9921 13228 13332 13938 19842 25553 27876 36377 39684 51106 72754 76061 76659 102212 109131 145508 152122 153318 218262 228183 304244 306636 334007 436524 456366 668014 836671 912732 1002021 1336028 1673342 2004042 2510013 3346684 3674077 4008084 5020026 7348154 7682161 10040052 11022231 14696308 15364322 22044462 23046483 30728644 44088924 46092966 84503771 92185932 169007542 253511313 338015084 507022626 1014045252