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149530032 = 24322961587
BaseRepresentation
bin10001110100110…
…10010110110000
3101102100220122100
420322122112300
5301234430112
622500540400
73463661421
oct1072322660
9342326570
10149530032
1177451143
12420b1700
1324c96012
1415c05648
15d1da2dc
hex8e9a5b0

149530032 has 120 divisors (see below), whose sum is σ = 440753040. Its totient is φ = 47255040.

The previous prime is 149530027. The next prime is 149530063. The reversal of 149530032 is 230035941.

It is a junction number, because it is equal to n+sod(n) for n = 149529978 and 149530005.

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 23 ways as a sum of consecutive naturals, for example, 254443 + ... + 255029.

It is an arithmetic number, because the mean of its divisors is an integer number (3672942).

Almost surely, 2149530032 is an apocalyptic number.

149530032 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 149530032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220376520).

149530032 is an abundant number, since it is smaller than the sum of its proper divisors (291223008).

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

149530032 is a wasteful number, since it uses less digits than its factorization.

149530032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 149530032 is about 12228.2472987751. The cubic root of 149530032 is about 530.7737979152.

Adding to 149530032 its reverse (230035941), we get a palindrome (379565973).

The spelling of 149530032 in words is "one hundred forty-nine million, five hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 61 72 87 116 122 144 174 183 232 244 261 348 366 464 488 522 549 587 696 732 976 1044 1098 1174 1392 1464 1761 1769 2088 2196 2348 2928 3522 3538 4176 4392 4696 5283 5307 7044 7076 8784 9392 10566 10614 14088 14152 15921 17023 21132 21228 28176 28304 31842 34046 35807 42264 42456 51069 63684 68092 71614 84528 84912 102138 107421 127368 136184 143228 153207 204276 214842 254736 272368 286456 306414 322263 408552 429684 572912 612828 644526 817104 859368 1038403 1225656 1289052 1718736 2076806 2451312 2578104 3115209 4153612 5156208 6230418 8307224 9345627 12460836 16614448 18691254 24921672 37382508 49843344 74765016 149530032