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154268820 = 223352312421
BaseRepresentation
bin10010011000111…
…11010010010100
3101202021200001000
421030133102110
5303443100240
623150303300
73552156216
oct1114372224
9352250030
10154268820
117a0984a2
12437b7b30
1325c64c34
14166ba5b6
15d824430
hex931f494

154268820 has 96 divisors (see below), whose sum is σ = 500855040. Its totient is φ = 39346560.

The previous prime is 154268813. The next prime is 154268831. The reversal of 154268820 is 28862451.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 6210 + ... + 18630.

It is an arithmetic number, because the mean of its divisors is an integer number (5217240).

Almost surely, 2154268820 is an apocalyptic number.

154268820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 12420×12421.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154268820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250427520).

154268820 is an abundant number, since it is smaller than the sum of its proper divisors (346586220).

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

154268820 is a wasteful number, since it uses less digits than its factorization.

154268820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12462 (or 12454 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 154268820 is about 12420.4999899360. The cubic root of 154268820 is about 536.3225438559.

The spelling of 154268820 in words is "one hundred fifty-four million, two hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 12421 24842 37263 49684 62105 74526 111789 124210 149052 186315 223578 248420 285683 335367 372630 447156 558945 571366 670734 745260 857049 1117890 1142732 1341468 1428415 1676835 1714098 2235780 2571147 2856830 3353670 3428196 4285245 5142294 5713660 6707340 7713441 8570490 10284588 12855735 15426882 17140980 25711470 30853764 38567205 51422940 77134410 154268820