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151421200 = 24527411319
BaseRepresentation
bin10010000011010…
…00000100010000
3101112220222211121
421001220010100
5302230434300
623005252024
73516026140
oct1101500420
9345828747
10151421200
1178522a97
1242864014
13254a8a58
1416178920
15d46081a
hex9068110

151421200 has 120 divisors (see below), whose sum is σ = 426222720. Its totient is φ = 50611200.

The previous prime is 151421183. The next prime is 151421201. The reversal of 151421200 is 2124151.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151421201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114141 + ... + 115459.

It is an arithmetic number, because the mean of its divisors is an integer number (3551856).

Almost surely, 2151421200 is an apocalyptic number.

151421200 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 151421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213111360).

151421200 is an abundant number, since it is smaller than the sum of its proper divisors (274801520).

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

151421200 is a wasteful number, since it uses less digits than its factorization.

151421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 151421200 is about 12305.3321775562. The cubic root of 151421200 is about 533.0020685925.

Adding to 151421200 its reverse (2124151), we get a palindrome (153545351).

The spelling of 151421200 in words is "one hundred fifty-one million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 41 50 56 70 80 82 100 112 140 164 175 200 205 280 287 328 350 400 410 560 574 656 700 820 1025 1148 1319 1400 1435 1640 2050 2296 2638 2800 2870 3280 4100 4592 5276 5740 6595 7175 8200 9233 10552 11480 13190 14350 16400 18466 21104 22960 26380 28700 32975 36932 46165 52760 54079 57400 65950 73864 92330 105520 108158 114800 131900 147728 184660 216316 230825 263800 270395 369320 378553 432632 461650 527600 540790 738640 757106 865264 923300 1081580 1351975 1514212 1846600 1892765 2163160 2703950 3028424 3693200 3785530 4326320 5407900 6056848 7571060 9463825 10815800 15142120 18927650 21631600 30284240 37855300 75710600 151421200