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149857890 = 235713173229
BaseRepresentation
bin10001110111010…
…10011001100010
3101102222120101020
420323222121202
5301330423030
622511550310
73466525320
oct1073523142
9342876336
10149857890
11776554a6
124222b396
132507c310
1415c8cd10
15d252510
hex8eea662

149857890 has 128 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 29749248.

The previous prime is 149857867. The next prime is 149857891. The reversal of 149857890 is 98758941.

149857890 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (149857891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44796 + ... + 48024.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2149857890 is an apocalyptic number.

149857890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149857890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

149857890 is an abundant number, since it is smaller than the sum of its proper divisors (318983070).

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

149857890 is a wasteful number, since it uses less digits than its factorization.

149857890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276.

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 149857890 is about 12241.6457226959. The cubic root of 149857890 is about 531.1614377860.

The spelling of 149857890 in words is "one hundred forty-nine million, eight hundred fifty-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 17 21 26 30 34 35 39 42 51 65 70 78 85 91 102 105 119 130 170 182 195 210 221 238 255 273 357 390 442 455 510 546 595 663 714 910 1105 1190 1326 1365 1547 1785 2210 2730 3094 3229 3315 3570 4641 6458 6630 7735 9282 9687 15470 16145 19374 22603 23205 32290 41977 45206 46410 48435 54893 67809 83954 96870 109786 113015 125931 135618 164679 209885 226030 251862 274465 293839 329358 339045 384251 419770 548930 587678 629655 678090 713609 768502 823395 881517 1152753 1259310 1427218 1469195 1646790 1763034 1921255 2140827 2305506 2938390 3568045 3842510 4281654 4407585 4995263 5763765 7136090 8815170 9990526 10704135 11527530 14985789 21408270 24976315 29971578 49952630 74928945 149857890