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154050320 = 24523292887
BaseRepresentation
bin10010010111010…
…01111100010000
3101201212120022102
421023221330100
5303414102240
623141455532
73550256204
oct1113517420
9351776272
10154050320
1179a59316
12437115a8
1325bb9648
1416660b04
15d7ce815
hex92e9f10

154050320 has 80 divisors (see below), whose sum is σ = 386760960. Its totient is φ = 56888832.

The previous prime is 154050307. The next prime is 154050329. The reversal of 154050320 is 23050451.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 154050292 and 154050301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154050329) 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 15 ways as a sum of consecutive naturals, for example, 51917 + ... + 54803.

It is an arithmetic number, because the mean of its divisors is an integer number (4834512).

Almost surely, 2154050320 is an apocalyptic number.

154050320 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 154050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193380480).

154050320 is an abundant number, since it is smaller than the sum of its proper divisors (232710640).

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

154050320 is a wasteful number, since it uses less digits than its factorization.

154050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 154050320 is about 12411.7009309764. The cubic root of 154050320 is about 536.0692158332.

The spelling of 154050320 in words is "one hundred fifty-four million, fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 46 58 80 92 115 116 145 184 230 232 290 368 460 464 580 667 920 1160 1334 1840 2320 2668 2887 3335 5336 5774 6670 10672 11548 13340 14435 23096 26680 28870 46192 53360 57740 66401 83723 115480 132802 167446 230960 265604 332005 334892 418615 531208 664010 669784 837230 1062416 1328020 1339568 1674460 1925629 2656040 3348920 3851258 5312080 6697840 7702516 9628145 15405032 19256290 30810064 38512580 77025160 154050320