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107949303 = 3273112172
BaseRepresentation
bin1100110111100…
…10110011110111
321112010101121100
412123302303313
5210113334203
614413421143
72450361000
oct633626367
9245111540
10107949303
1155a30a00
123019a7b3
1319497b37
14104a01a7
159724ea3
hex66f2cf7

107949303 has 108 divisors (see below), whose sum is σ = 212321200. Its totient is φ = 52778880.

The previous prime is 107949277. The next prime is 107949311. The reversal of 107949303 is 303949701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 107949303 - 214 = 107932919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107949343) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6349951 + ... + 6349967.

Almost surely, 2107949303 is an apocalyptic number.

107949303 is a deficient number, since it is larger than the sum of its proper divisors (104371897).

107949303 is a wasteful number, since it uses less digits than its factorization.

107949303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 107949303 is about 10389.8653985506. The cubic root of 107949303 is about 476.1457886768.

Multiplying 107949303 by its product of nonzero digits (20412), we get a square (2203461172836 = 14844062).

The spelling of 107949303 in words is "one hundred seven million, nine hundred forty-nine thousand, three hundred three".

Divisors: 1 3 7 9 11 17 21 33 49 51 63 77 99 119 121 147 153 187 231 289 343 357 363 441 539 561 693 833 847 867 1029 1071 1089 1309 1617 1683 2023 2057 2499 2541 2601 3087 3179 3773 3927 4851 5831 5929 6069 6171 7497 7623 9163 9537 11319 11781 14161 14399 17493 17787 18207 18513 22253 27489 28611 33957 34969 41503 42483 43197 52479 53361 64141 66759 82467 99127 100793 104907 124509 127449 129591 155771 192423 200277 244783 297381 302379 314721 373527 467313 577269 705551 734349 892143 907137 1090397 1401939 1713481 2116653 2203047 3271191 5140443 6349959 9813573 11994367 15421329 35983101 107949303