Search a number
-
+
151422720 = 283547839
BaseRepresentation
bin10010000011010…
…00011100000000
3101112221001220220
421001220130000
5302231011340
623005303040
73516033441
oct1101503400
9345831826
10151422720
1178524149
1242864a80
13254a9657
14161792c8
15d460ed0
hex9068700

151422720 has 144 divisors (see below), whose sum is σ = 494484480. Its totient is φ = 39473152.

The previous prime is 151422709. The next prime is 151422721. The reversal of 151422720 is 27224151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151422721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180061 + ... + 180899.

It is an arithmetic number, because the mean of its divisors is an integer number (3433920).

Almost surely, 2151422720 is an apocalyptic number.

151422720 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 151422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

151422720 is an abundant number, since it is smaller than the sum of its proper divisors (343061760).

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

151422720 is an equidigital number, since it uses as much as digits as its factorization.

151422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 151422720 is about 12305.3939392447. The cubic root of 151422720 is about 533.0038520514.

Adding to 151422720 its reverse (27224151), we get a palindrome (178646871).

The spelling of 151422720 in words is "one hundred fifty-one million, four hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 256 282 320 376 384 470 480 564 640 705 752 768 839 940 960 1128 1280 1410 1504 1678 1880 1920 2256 2517 2820 3008 3356 3760 3840 4195 4512 5034 5640 6016 6712 7520 8390 9024 10068 11280 12032 12585 13424 15040 16780 18048 20136 22560 25170 26848 30080 33560 36096 39433 40272 45120 50340 53696 60160 67120 78866 80544 90240 100680 107392 118299 134240 157732 161088 180480 197165 201360 214784 236598 268480 315464 322176 394330 402720 473196 536960 591495 630928 644352 788660 805440 946392 1073920 1182990 1261856 1577320 1610880 1892784 2365980 2523712 3154640 3221760 3785568 4731960 5047424 6309280 7571136 9463920 10094848 12618560 15142272 18927840 25237120 30284544 37855680 50474240 75711360 151422720