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149836962 = 231121791153
BaseRepresentation
bin10001110111001…
…01010010100010
3101102221111200010
420323211102202
5301324240322
622511305350
73466410312
oct1073452242
9342844603
10149836962
1177640800
124221b256
1325072932
1415c85442
15d24b20c
hex8ee54a2

149836962 has 48 divisors (see below), whose sum is σ = 331521120. Its totient is φ = 45112320.

The previous prime is 149836961. The next prime is 149836969. The reversal of 149836962 is 269638941.

It is a super-2 number, since 2×1498369622 = 44902230362778888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149836961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 129378 + ... + 130530.

It is an arithmetic number, because the mean of its divisors is an integer number (6906690).

Almost surely, 2149836962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149836962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165760560).

149836962 is an abundant number, since it is smaller than the sum of its proper divisors (181684158).

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

149836962 is a wasteful number, since it uses less digits than its factorization.

149836962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1348 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 149836962 is about 12240.7909058198. The cubic root of 149836962 is about 531.1367106616.

It can be divided in two parts, 14983 and 6962, that added together give a triangular number (21945 = T209).

The spelling of 149836962 in words is "one hundred forty-nine million, eight hundred thirty-six thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 121 179 242 358 363 537 726 1074 1153 1969 2306 3459 3938 5907 6918 11814 12683 21659 25366 38049 43318 64977 76098 129954 139513 206387 279026 412774 418539 619161 837078 1238322 2270257 4540514 6810771 13621542 24972827 49945654 74918481 149836962