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149211960 = 23352953809
BaseRepresentation
bin10001110010011…
…00101100111000
3101101202202022220
420321030230320
5301144240320
622450044040
73461165202
oct1071145470
9341682286
10149211960
1177254177
1241b79620
1324bb4301
1415b61772
15d175e40
hex8e4cb38

149211960 has 128 divisors (see below), whose sum is σ = 472392000. Its totient is φ = 37646336.

The previous prime is 149211947. The next prime is 149211973. The reversal of 149211960 is 69112941.

It is an interprime number because it is at equal distance from previous prime (149211947) and next prime (149211973).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184036 + ... + 184844.

Almost surely, 2149211960 is an apocalyptic number.

149211960 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 149211960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236196000).

149211960 is an abundant number, since it is smaller than the sum of its proper divisors (323180040).

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

149211960 is a wasteful number, since it uses less digits than its factorization.

149211960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 149211960 is about 12215.2347500979. The cubic root of 149211960 is about 530.3971865474.

The spelling of 149211960 in words is "one hundred forty-nine million, two hundred eleven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 53 58 60 87 106 116 120 145 159 174 212 232 265 290 318 348 424 435 530 580 636 696 795 809 870 1060 1160 1272 1537 1590 1618 1740 2120 2427 3074 3180 3236 3480 4045 4611 4854 6148 6360 6472 7685 8090 9222 9708 12135 12296 15370 16180 18444 19416 23055 23461 24270 30740 32360 36888 42877 46110 46922 48540 61480 70383 85754 92220 93844 97080 117305 128631 140766 171508 184440 187688 214385 234610 257262 281532 343016 351915 428770 469220 514524 563064 643155 703830 857540 938440 1029048 1243433 1286310 1407660 1715080 2486866 2572620 2815320 3730299 4973732 5145240 6217165 7460598 9947464 12434330 14921196 18651495 24868660 29842392 37302990 49737320 74605980 149211960