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149160032 = 25719101347
BaseRepresentation
bin10001110010000…
…00000001100000
3101101200010002122
420321000001200
5301141110112
622445003412
73460560620
oct1071000140
9341603078
10149160032
117721915a
1241b53568
1324b96798
1415b4a880
15d165872
hex8e40060

149160032 has 96 divisors (see below), whose sum is σ = 357799680. Its totient is φ = 59788800.

The previous prime is 149160031. The next prime is 149160071. The reversal of 149160032 is 230061941.

It is a junction number, because it is equal to n+sod(n) for n = 149159983 and 149160010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149160031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429683 + ... + 430029.

It is an arithmetic number, because the mean of its divisors is an integer number (3727080).

Almost surely, 2149160032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149160032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178899840).

149160032 is an abundant number, since it is smaller than the sum of its proper divisors (208639648).

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

149160032 is a wasteful number, since it uses less digits than its factorization.

149160032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 149160032 is about 12213.1090226854. The cubic root of 149160032 is about 530.3356506830.

The spelling of 149160032 in words is "one hundred forty-nine million, one hundred sixty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 101 112 133 152 202 224 266 304 347 404 532 608 694 707 808 1064 1388 1414 1616 1919 2128 2429 2776 2828 3232 3838 4256 4858 5552 5656 6593 7676 9716 11104 11312 13186 13433 15352 19432 22624 26372 26866 30704 35047 38864 46151 52744 53732 61408 70094 77728 92302 105488 107464 140188 184604 210976 214928 245329 280376 369208 429856 490658 560752 665893 738416 981316 1121504 1331786 1476832 1962632 2663572 3925264 4661251 5327144 7850528 9322502 10654288 18645004 21308576 37290008 74580016 149160032