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149384412 = 223431107139
BaseRepresentation
bin10001110011101…
…10110011011100
3101102002111220000
420321312303130
5301220300122
622453454300
73462514032
oct1071666334
9342074800
10149384412
11773617a1
1242041390
1324c44958
1415ba8552
15d1ac0ac
hex8e76cdc

149384412 has 120 divisors (see below), whose sum is σ = 409812480. Its totient is φ = 47394720.

The previous prime is 149384363. The next prime is 149384467. The reversal of 149384412 is 214483941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1074639 + ... + 1074777.

It is an arithmetic number, because the mean of its divisors is an integer number (3415104).

Almost surely, 2149384412 is an apocalyptic number.

149384412 is a gapful number since it is divisible by the number (12) 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 149384412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204906240).

149384412 is an abundant number, since it is smaller than the sum of its proper divisors (260428068).

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

149384412 is a wasteful number, since it uses less digits than its factorization.

149384412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 149384412 is about 12222.2916018233. The cubic root of 149384412 is about 530.6014437220.

It can be divided in two parts, 1493844 and 12, that added together give a triangular number (1493856 = T1728).

The spelling of 149384412 in words is "one hundred forty-nine million, three hundred eighty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 107 108 124 139 162 186 214 278 279 321 324 372 417 428 556 558 642 834 837 963 1116 1251 1284 1668 1674 1926 2502 2511 2889 3317 3348 3753 3852 4309 5004 5022 5778 6634 7506 8618 8667 9951 10044 11259 11556 12927 13268 14873 15012 17236 17334 19902 22518 25854 29746 29853 34668 38781 39804 44619 45036 51708 59492 59706 77562 89238 89559 116343 119412 133857 155124 178476 179118 232686 267714 268677 349029 358236 401571 461063 465372 535428 537354 698058 803142 922126 1074708 1204713 1383189 1396116 1606284 1844252 2409426 2766378 4149567 4818852 5532756 8299134 12448701 16598268 24897402 37346103 49794804 74692206 149384412