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150411420 = 223254319433
BaseRepresentation
bin10001111011100…
…01100010011100
3101111000200200100
420331301202130
5302001131140
622531501100
73504322155
oct1075614234
9344020610
10150411420
11779a3365
1242457790
1325214253
1415d9492c
15d311530
hex8f7189c

150411420 has 72 divisors (see below), whose sum is σ = 466882416. Its totient is φ = 39174912.

The previous prime is 150411419. The next prime is 150411431. The reversal of 150411420 is 24114051.

150411420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 150411393 and 150411402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1977 + ... + 17456.

It is an arithmetic number, because the mean of its divisors is an integer number (6484478).

Almost surely, 2150411420 is an apocalyptic number.

150411420 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 150411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233441208).

150411420 is an abundant number, since it is smaller than the sum of its proper divisors (316470996).

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

150411420 is a wasteful number, since it uses less digits than its factorization.

150411420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19491 (or 19486 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 150411420 is about 12264.2333637289. The cubic root of 150411420 is about 531.8146177913.

Adding to 150411420 its reverse (24114051), we get a palindrome (174525471).

It can be divided in two parts, 15041 and 1420, that added together give a palindrome (16461).

The spelling of 150411420 in words is "one hundred fifty million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 19433 38866 58299 77732 97165 116598 174897 194330 233196 291495 349794 388660 582990 699588 835619 874485 1165980 1671238 1748970 2506857 3342476 3497940 4178095 5013714 7520571 8356190 10027428 12534285 15041142 16712380 25068570 30082284 37602855 50137140 75205710 150411420