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151840 = 2551373
BaseRepresentation
bin100101000100100000
321201021201
4211010200
514324330
63130544
71201453
oct450440
9251251
10151840
11a4097
1273a54
1354160
143d49a
152eeca
hex25120

151840 has 48 divisors (see below), whose sum is σ = 391608. Its totient is φ = 55296.

The previous prime is 151817. The next prime is 151841. The reversal of 151840 is 48151.

151840 divided by its product of nonzero digits (160) gives a palindrome (949).

Adding to 151840 its reverse (48151), we get a palindrome (199991).

It can be written as a sum of positive squares in 4 ways, for example, as 99856 + 51984 = 316^2 + 228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2044 + ... + 2116.

2151840 is an apocalyptic number.

151840 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 151840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195804).

151840 is an abundant number, since it is smaller than the sum of its proper divisors (239768).

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

151840 is a wasteful number, since it uses less digits than its factorization.

151840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 151840 is about 389.6665240946. Note that the first 3 decimals coincide. The cubic root of 151840 is about 53.3493007746.

The spelling of 151840 in words is "one hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 73 80 104 130 146 160 208 260 292 365 416 520 584 730 949 1040 1168 1460 1898 2080 2336 2920 3796 4745 5840 7592 9490 11680 15184 18980 30368 37960 75920 151840