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152868760 = 2351117107191
BaseRepresentation
bin10010001110010…
…01011110011000
3101122122112111221
421013021132120
5303113300020
623100301424
73534235342
oct1107113630
9348575457
10152868760
1179321620
1243241874
13258948b5
1416434292
15d6496aa
hex91c9798

152868760 has 128 divisors (see below), whose sum is σ = 403107840. Its totient is φ = 51558400.

The previous prime is 152868733. The next prime is 152868761. The reversal of 152868760 is 67868251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152868761) 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 31 ways as a sum of consecutive naturals, for example, 800265 + ... + 800455.

It is an arithmetic number, because the mean of its divisors is an integer number (3149280).

Almost surely, 2152868760 is an apocalyptic number.

152868760 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 152868760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201553920).

152868760 is an abundant number, since it is smaller than the sum of its proper divisors (250239080).

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

152868760 is a wasteful number, since it uses less digits than its factorization.

152868760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 152868760 is about 12364.0106761520. The cubic root of 152868760 is about 534.6951534322.

The spelling of 152868760 in words is "one hundred fifty-two million, eight hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 107 110 136 170 187 191 214 220 340 374 382 428 440 535 680 748 764 856 935 955 1070 1177 1496 1528 1819 1870 1910 2101 2140 2354 3247 3638 3740 3820 4202 4280 4708 5885 6494 7276 7480 7640 8404 9095 9416 10505 11770 12988 14552 16235 16808 18190 20009 20437 21010 23540 25976 32470 35717 36380 40018 40874 42020 47080 64940 71434 72760 80036 81748 84040 100045 102185 129880 142868 160072 163496 178585 200090 204370 224807 285736 347429 357170 400180 408740 449614 694858 714340 800360 817480 899228 1124035 1389716 1428680 1737145 1798456 2248070 2779432 3474290 3821719 4496140 6948580 7643438 8992280 13897160 15286876 19108595 30573752 38217190 76434380 152868760