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154243040 = 2557178101
BaseRepresentation
bin10010011000110…
…00111111100000
3101202020100200012
421030120333200
5303441234130
623145544052
73552021110
oct1114307740
9352210605
10154243040
117a080096
12437a5028
1325c56293
14166b1040
15d81b995
hex9318fe0

154243040 has 96 divisors (see below), whose sum is σ = 441008064. Its totient is φ = 49766400.

The previous prime is 154243031. The next prime is 154243093. The reversal of 154243040 is 40342451.

It is a junction number, because it is equal to n+sod(n) for n = 154242997 and 154243015.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14990 + ... + 23090.

It is an arithmetic number, because the mean of its divisors is an integer number (4593834).

Almost surely, 2154243040 is an apocalyptic number.

154243040 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 154243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220504032).

154243040 is an abundant number, since it is smaller than the sum of its proper divisors (286765024).

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

154243040 is a wasteful number, since it uses less digits than its factorization.

154243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 154243040 is about 12419.4621461640. The cubic root of 154243040 is about 536.2926670789.

Adding to 154243040 its reverse (40342451), we get a palindrome (194585491).

The spelling of 154243040 in words is "one hundred fifty-four million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 8101 9520 16202 19040 32404 40505 56707 64808 81010 113414 129616 137717 162020 226828 259232 275434 283535 324040 453656 550868 567070 648080 688585 907312 964019 1101736 1134140 1296160 1377170 1814624 1928038 2203472 2268280 2754340 3856076 4406944 4536560 4820095 5508680 7712152 9073120 9640190 11017360 15424304 19280380 22034720 30848608 38560760 77121520 154243040