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150074420 = 22529353733
BaseRepresentation
bin10001111000111…
…11010000110100
3101110101120101212
420330133100310
5301404340140
622520340552
73501416516
oct1074372064
9343346355
10150074420
1177793151
1242314758
1325126a42
1415d07bb6
15d296765
hex8f1f434

150074420 has 48 divisors (see below), whose sum is σ = 327393360. Its totient is φ = 57716736.

The previous prime is 150074417. The next prime is 150074437. The reversal of 150074420 is 24470051.

150074420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6697744 + 143376676 = 2588^2 + 11974^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204374 + ... + 205106.

It is an arithmetic number, because the mean of its divisors is an integer number (6820695).

Almost surely, 2150074420 is an apocalyptic number.

150074420 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 150074420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163696680).

150074420 is an abundant number, since it is smaller than the sum of its proper divisors (177318940).

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

150074420 is a wasteful number, since it uses less digits than its factorization.

150074420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 150074420 is about 12250.4865209509. The cubic root of 150074420 is about 531.4171401199.

The spelling of 150074420 in words is "one hundred fifty million, seventy-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 353 580 706 733 1412 1466 1765 2932 3530 3665 7060 7330 10237 14660 20474 21257 40948 42514 51185 85028 102370 106285 204740 212570 258749 425140 517498 1034996 1293745 2587490 5174980 7503721 15007442 30014884 37518605 75037210 150074420