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10149408 = 253317691
BaseRepresentation
bin100110101101…
…111000100000
3201002122101000
4212231320200
510044240113
61001312000
7152161053
oct46557040
921078330
1010149408
115802445
123495600
132144889
1414c2a9a
15d57373
hex9ade20

10149408 has 96 divisors (see below), whose sum is σ = 31389120. Its totient is φ = 3179520.

The previous prime is 10149407. The next prime is 10149413. The reversal of 10149408 is 80494101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10149407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14343 + ... + 15033.

It is an arithmetic number, because the mean of its divisors is an integer number (326970).

Almost surely, 210149408 is an apocalyptic number.

10149408 is a gapful number since it is divisible by the number (18) 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 10149408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15694560).

10149408 is an abundant number, since it is smaller than the sum of its proper divisors (21239712).

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

10149408 is a wasteful number, since it uses less digits than its factorization.

10149408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10149408 is about 3185.8135538666. The cubic root of 10149408 is about 216.5111351917.

The spelling of 10149408 in words is "ten million, one hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 691 816 864 918 1224 1382 1632 1836 2073 2448 2764 3672 4146 4896 5528 6219 7344 8292 11056 11747 12438 14688 16584 18657 22112 23494 24876 33168 35241 37314 46988 49752 66336 70482 74628 93976 99504 105723 140964 149256 187952 199008 211446 281928 298512 317169 375904 422892 563856 597024 634338 845784 1127712 1268676 1691568 2537352 3383136 5074704 10149408