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1146135250 = 25313714967
BaseRepresentation
bin100010001010000…
…1010001011010010
32221212122200222201
41010110022023102
54321402312000
6305421353414
740254663121
oct10424121322
92855580881
101146135250
11538a66417
1227ba0886a
131535b4c50
14ac30bab8
156a94a96a
hex4450a2d2

1146135250 has 64 divisors (see below), whose sum is σ = 2343624192. Its totient is φ = 417144000.

The previous prime is 1146135227. The next prime is 1146135311. The reversal of 1146135250 is 525316411.

It is a super-2 number, since 2×11461352502 = 2627252022585125000, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 228267 + ... + 233233.

It is an arithmetic number, because the mean of its divisors is an integer number (36619128).

Almost surely, 21146135250 is an apocalyptic number.

1146135250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1146135250 is an abundant number, since it is smaller than the sum of its proper divisors (1197488942).

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

1146135250 is a wasteful number, since it uses less digits than its factorization.

1146135250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1146135250 is about 33854.6193303071. The cubic root of 1146135250 is about 1046.5145959213.

The spelling of 1146135250 in words is "one billion, one hundred forty-six million, one hundred thirty-five thousand, two hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 71 125 130 142 250 325 355 650 710 923 1625 1775 1846 3250 3550 4615 4967 8875 9230 9934 17750 23075 24835 46150 49670 64571 115375 124175 129142 230750 248350 322855 352657 620875 645710 705314 1241750 1614275 1763285 3228550 3526570 4584541 8071375 8816425 9169082 16142750 17632850 22922705 44082125 45845410 88164250 114613525 229227050 573067625 1146135250