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149970304 = 2711223421
BaseRepresentation
bin10001111000001…
…01110110000000
3101110012021120201
420330011312000
5301343022204
622514214544
73500504131
oct1074056600
9343167521
10149970304
1177721a00
1242284454
13250bb533
1415cbbc88
15d2759a4
hex8f05d80

149970304 has 96 divisors (see below), whose sum is σ = 343491120. Its totient is φ = 65049600.

The previous prime is 149970263. The next prime is 149970307. The reversal of 149970304 is 403079941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149970307) 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 11 ways as a sum of consecutive naturals, for example, 356014 + ... + 356434.

Almost surely, 2149970304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171745560).

149970304 is an abundant number, since it is smaller than the sum of its proper divisors (193520816).

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

149970304 is a wasteful number, since it uses less digits than its factorization.

149970304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 149970304 is about 12246.2363197841. The cubic root of 149970304 is about 531.2942192673.

The spelling of 149970304 in words is "one hundred forty-nine million, nine hundred seventy thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 121 128 176 184 242 253 352 368 421 484 506 704 736 842 968 1012 1408 1472 1684 1936 2024 2783 2944 3368 3872 4048 4631 5566 6736 7744 8096 9262 9683 11132 13472 15488 16192 18524 19366 22264 26944 32384 37048 38732 44528 50941 53888 74096 77464 89056 101882 106513 148192 154928 178112 203764 213026 296384 309856 356224 407528 426052 592768 619712 815056 852104 1171643 1239424 1630112 1704208 2343286 3260224 3408416 4686572 6520448 6816832 9373144 13633664 18746288 37492576 74985152 149970304