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151220340 = 223256712539
BaseRepresentation
bin10010000001101…
…11000001110100
3101112112210022100
421000313001310
5302203022330
623001102100
73514231425
oct1100670164
9345483270
10151220340
11783a6097
1242787930
13254384bb
141612564c
15d421060
hex9037074

151220340 has 72 divisors (see below), whose sum is σ = 465585120. Its totient is φ = 39720384.

The previous prime is 151220339. The next prime is 151220347. The reversal of 151220340 is 43022151.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151220347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5791 + ... + 18329.

It is an arithmetic number, because the mean of its divisors is an integer number (6466460).

Almost surely, 2151220340 is an apocalyptic number.

151220340 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 151220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232792560).

151220340 is an abundant number, since it is smaller than the sum of its proper divisors (314364780).

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

151220340 is a wasteful number, since it uses less digits than its factorization.

151220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12621 (or 12616 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 151220340 is about 12297.1679666499. The cubic root of 151220340 is about 532.7662888202.

Adding to 151220340 its reverse (43022151), we get a palindrome (194242491).

The spelling of 151220340 in words is "one hundred fifty-one million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 12539 25078 37617 50156 62695 75234 112851 125390 150468 188085 225702 250780 376170 451404 564255 752340 840113 1128510 1680226 2257020 2520339 3360452 4200565 5040678 7561017 8401130 10081356 12601695 15122034 16802260 25203390 30244068 37805085 50406780 75610170 151220340