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149028096 = 2837191459
BaseRepresentation
bin10001110000111…
…11110100000000
3101101102102010010
420320133310000
5301122344341
622442104520
73456501150
oct1070376400
9341372103
10149028096
1177139018
1241aab140
1324b4b709
1415b14760
15d13b716
hex8e1fd00

149028096 has 144 divisors (see below), whose sum is σ = 477478400. Its totient is φ = 40310784.

The previous prime is 149028079. The next prime is 149028101. The reversal of 149028096 is 690820941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101415 + ... + 102873.

Almost surely, 2149028096 is an apocalyptic number.

149028096 is a gapful number since it is divisible by the number (16) 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 149028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238739200).

149028096 is an abundant number, since it is smaller than the sum of its proper divisors (328450304).

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

149028096 is a wasteful number, since it uses less digits than its factorization.

149028096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 149028096 is about 12207.7064184883. The cubic root of 149028096 is about 530.1792392462.

The spelling of 149028096 in words is "one hundred forty-nine million, twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1459 1596 1792 1824 2128 2432 2688 2918 3192 3648 4256 4377 4864 5376 5836 6384 7296 8512 8754 10213 11672 12768 14592 17024 17508 20426 23344 25536 27721 30639 34048 35016 40852 46688 51072 55442 61278 70032 81704 83163 93376 102144 110884 122556 140064 163408 166326 186752 194047 221768 245112 280128 326816 332652 373504 388094 443536 490224 560256 582141 653632 665304 776188 887072 980448 1120512 1164282 1307264 1330608 1552376 1774144 1960896 2328564 2614528 2661216 3104752 3548288 3921792 4657128 5322432 6209504 7096576 7843584 9314256 10644864 12419008 18628512 21289728 24838016 37257024 49676032 74514048 149028096