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151453000 = 23531759151
BaseRepresentation
bin10010000011011…
…11110101001000
3101112222121110101
421001233311020
5302232444000
623010055144
73516220636
oct1101576510
9345877411
10151453000
1178544976
124287a4b4
13254ba37a
1416186356
15d469e6a
hex906fd48

151453000 has 128 divisors (see below), whose sum is σ = 384134400. Its totient is φ = 55680000.

The previous prime is 151452989. The next prime is 151453007. The reversal of 151453000 is 354151.

It is a super-2 number, since 2×1514530002 = 45876022418000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151453007) 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, 1002925 + ... + 1003075.

It is an arithmetic number, because the mean of its divisors is an integer number (3001050).

Almost surely, 2151453000 is an apocalyptic number.

151453000 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 151453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192067200).

151453000 is an abundant number, since it is smaller than the sum of its proper divisors (232681400).

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

151453000 is a wasteful number, since it uses less digits than its factorization.

151453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 151453000 is about 12306.6242325018. The cubic root of 151453000 is about 533.0393779420.

It can be divided in two parts, 15145 and 3000, that added together give a triangular number (18145 = T190).

The spelling of 151453000 in words is "one hundred fifty-one million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 59 68 85 100 118 125 136 151 170 200 236 250 295 302 340 425 472 500 590 604 680 755 850 1000 1003 1180 1208 1475 1510 1700 2006 2125 2360 2567 2950 3020 3400 3775 4012 4250 5015 5134 5900 6040 7375 7550 8024 8500 8909 10030 10268 11800 12835 14750 15100 17000 17818 18875 20060 20536 25075 25670 29500 30200 35636 37750 40120 44545 50150 51340 59000 64175 71272 75500 89090 100300 102680 125375 128350 151000 151453 178180 200600 222725 250750 256700 302906 320875 356360 445450 501500 513400 605812 641750 757265 890900 1003000 1113625 1211624 1283500 1514530 1781800 2227250 2567000 3029060 3786325 4454500 6058120 7572650 8909000 15145300 18931625 30290600 37863250 75726500 151453000