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299142540 = 2232517293371
BaseRepresentation
bin10001110101001…
…000110110001100
3202211220000102100
4101311020312030
51103040030130
645403355100
710261445454
oct2165106614
9684800370
10299142540
11143949244
1284222a90
1349c8a728
142ba2cd64
151b3dec60
hex11d48d8c

299142540 has 144 divisors (see below), whose sum is σ = 994200480. Its totient is φ = 72468480.

The previous prime is 299142509. The next prime is 299142559. The reversal of 299142540 is 45241992.

299142540 is a `hidden beast` number, since 29 + 91 + 4 + 2 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 299142495 and 299142504.

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 47 ways as a sum of consecutive naturals, for example, 87055 + ... + 90425.

It is an arithmetic number, because the mean of its divisors is an integer number (6904170).

Almost surely, 2299142540 is an apocalyptic number.

299142540 is a gapful number since it is divisible by the number (20) 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 299142540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497100240).

299142540 is an abundant number, since it is smaller than the sum of its proper divisors (695057940).

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

299142540 is a wasteful number, since it uses less digits than its factorization.

299142540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 299142540 is about 17295.7376252070. The cubic root of 299142540 is about 668.7945503847.

The spelling of 299142540 in words is "two hundred ninety-nine million, one hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 85 87 90 102 116 145 153 170 174 180 204 255 261 290 306 340 348 435 493 510 522 580 612 765 870 986 1020 1044 1305 1479 1530 1740 1972 2465 2610 2958 3060 3371 4437 4930 5220 5916 6742 7395 8874 9860 10113 13484 14790 16855 17748 20226 22185 29580 30339 33710 40452 44370 50565 57307 60678 67420 88740 97759 101130 114614 121356 151695 171921 195518 202260 229228 286535 293277 303390 343842 391036 488795 515763 573070 586554 606780 687684 859605 879831 977590 1031526 1146140 1173108 1466385 1661903 1719210 1759662 1955180 2063052 2578815 2932770 3323806 3438420 3519324 4399155 4985709 5157630 5865540 6647612 8309515 8798310 9971418 10315260 14957127 16619030 17596620 19942836 24928545 29914254 33238060 49857090 59828508 74785635 99714180 149571270 299142540