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1005342250 = 253111971271
BaseRepresentation
bin111011111011000…
…100111000101010
32121001201200022011
4323323010320222
54024331423000
6243431550134
733625160653
oct7373047052
92531650264
101005342250
11476542570
1224082b34a
1313038a993
149773c52a
155d3d92ba
hex3bec4e2a

1005342250 has 128 divisors (see below), whose sum is σ = 2199674880. Its totient is φ = 340200000.

The previous prime is 1005342199. The next prime is 1005342253. The reversal of 1005342250 is 522435001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1005342253) 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 63 ways as a sum of consecutive naturals, for example, 3709615 + ... + 3709885.

It is an arithmetic number, because the mean of its divisors is an integer number (17184960).

Almost surely, 21005342250 is an apocalyptic number.

1005342250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005342250 is an abundant number, since it is smaller than the sum of its proper divisors (1194332630).

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

1005342250 is a wasteful number, since it uses less digits than its factorization.

1005342250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1005342250 is about 31707.1324783557. The cubic root of 1005342250 is about 1001.7775883075. Note that the first 3 decimals are identical.

Adding to 1005342250 its reverse (522435001), we get a palindrome (1527777251).

The spelling of 1005342250 in words is "one billion, five million, three hundred forty-two thousand, two hundred fifty".

Divisors: 1 2 5 10 11 19 22 25 38 50 55 71 95 110 125 142 190 209 250 271 275 355 418 475 542 550 710 781 950 1045 1349 1355 1375 1562 1775 2090 2375 2698 2710 2750 2981 3550 3905 4750 5149 5225 5962 6745 6775 7810 8875 10298 10450 13490 13550 14839 14905 17750 19241 19525 25745 26125 29678 29810 33725 33875 38482 39050 51490 52250 56639 67450 67750 74195 74525 96205 97625 113278 128725 148390 149050 168625 192410 195250 211651 257450 283195 337250 365579 370975 372625 423302 481025 566390 643625 731158 741950 745250 962050 1058255 1287250 1415975 1827895 1854875 2116510 2405125 2831950 3655790 3709750 4021369 4810250 5291275 7079875 8042738 9139475 10582550 14159750 18278950 20106845 26456375 40213690 45697375 52912750 91394750 100534225 201068450 502671125 1005342250