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149514768 = 24331379337
BaseRepresentation
bin10001110100101…
…10101000010000
3101102100010201000
420322112220100
5301233433033
622500342000
73463566054
oct1072265020
9342303630
10149514768
1177440727
12420a4900
1324c8c0a0
1415bddc64
15d1d5a13
hex8e96a10

149514768 has 160 divisors (see below), whose sum is σ = 469414400. Its totient is φ = 45287424.

The previous prime is 149514763. The next prime is 149514769. The reversal of 149514768 is 867415941.

It is not an unprimeable number, because it can be changed into a prime (149514763) 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 31 ways as a sum of consecutive naturals, for example, 443496 + ... + 443832.

It is an arithmetic number, because the mean of its divisors is an integer number (2933840).

Almost surely, 2149514768 is an apocalyptic number.

149514768 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 149514768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234707200).

149514768 is an abundant number, since it is smaller than the sum of its proper divisors (319899632).

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

149514768 is a wasteful number, since it uses less digits than its factorization.

149514768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 149514768 is about 12227.6231541539. The cubic root of 149514768 is about 530.7557368679.

The spelling of 149514768 in words is "one hundred forty-nine million, five hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 79 104 108 117 144 156 158 208 216 234 237 312 316 337 351 432 468 474 624 632 674 702 711 936 948 1011 1027 1264 1348 1404 1422 1872 1896 2022 2054 2133 2696 2808 2844 3033 3081 3792 4044 4108 4266 4381 5392 5616 5688 6066 6162 8088 8216 8532 8762 9099 9243 11376 12132 12324 13143 16176 16432 17064 17524 18198 18486 24264 24648 26286 26623 27729 34128 35048 36396 36972 39429 48528 49296 52572 53246 55458 70096 72792 73944 78858 79869 105144 106492 110916 118287 145584 147888 157716 159738 210288 212984 221832 236574 239607 315432 319476 346099 425968 443664 473148 479214 630864 638952 692198 718821 946296 958428 1038297 1277904 1384396 1437642 1892592 1916856 2076594 2768792 2875284 3114891 3833712 4153188 5537584 5750568 6229782 8306376 9344673 11501136 12459564 16612752 18689346 24919128 37378692 49838256 74757384 149514768