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151890 = 2356183
BaseRepresentation
bin100101000101010010
321201100120
4211011102
514330030
63131110
71201554
oct450522
9251316
10151890
11a4132
1273a96
135419b
143d4d4
1530010
hex25152

151890 has 32 divisors (see below), whose sum is σ = 374976. Its totient is φ = 39360.

The previous prime is 151883. The next prime is 151897. The reversal of 151890 is 98151.

151890 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (151883) and next prime (151897).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 151890.

It is not an unprimeable number, because it can be changed into a prime (151897) by changing a digit.

151890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1789 + ... + 1871.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2151890 is an apocalyptic number.

151890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

151890 is an abundant number, since it is smaller than the sum of its proper divisors (223086).

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

151890 is a wasteful number, since it uses less digits than its factorization.

151890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 151890 is about 389.7306762368. The cubic root of 151890 is about 53.3551560000.

The spelling of 151890 in words is "one hundred fifty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 61 83 122 166 183 249 305 366 415 498 610 830 915 1245 1830 2490 5063 10126 15189 25315 30378 50630 75945 151890