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149021460 = 2232571011171
BaseRepresentation
bin10001110000111…
…10001100010100
3101101102002000100
420320132030110
5301122141320
622442014100
73456442620
oct1070361424
9341362010
10149021460
1177134035
1241aa7330
1324b486a3
1415b12180
15d139790
hex8e1e314

149021460 has 144 divisors (see below), whose sum is σ = 522168192. Its totient is φ = 33696000.

The previous prime is 149021423. The next prime is 149021479. The reversal of 149021460 is 64120941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126675 + ... + 127845.

It is an arithmetic number, because the mean of its divisors is an integer number (3626168).

Almost surely, 2149021460 is an apocalyptic number.

149021460 is a gapful number since it is divisible by the number (10) 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 149021460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261084096).

149021460 is an abundant number, since it is smaller than the sum of its proper divisors (373146732).

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

149021460 is a wasteful number, since it uses less digits than its factorization.

149021460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 149021460 is about 12207.4346199355. The cubic root of 149021460 is about 530.1713697644.

The spelling of 149021460 in words is "one hundred forty-nine million, twenty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 505 606 630 707 909 1010 1171 1212 1260 1414 1515 1818 2020 2121 2342 2828 3030 3513 3535 3636 4242 4545 4684 5855 6060 6363 7026 7070 8197 8484 9090 10539 10605 11710 12726 14052 14140 16394 17565 18180 21078 21210 23420 24591 25452 31815 32788 35130 40985 42156 42420 49182 52695 63630 70260 73773 81970 98364 105390 118271 122955 127260 147546 163940 210780 236542 245910 295092 354813 368865 473084 491820 591355 709626 737730 827897 1064439 1182710 1419252 1475460 1655794 1774065 2128878 2365420 2483691 3311588 3548130 4139485 4257756 4967382 5322195 7096260 7451073 8278970 9934764 10644390 12418455 14902146 16557940 21288780 24836910 29804292 37255365 49673820 74510730 149021460