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150775400 = 23521913947
BaseRepresentation
bin10001111110010…
…10011001101000
3101111201011222002
420333022121220
5302044303100
622543350132
73510366266
oct1077123150
9344634862
10150775400
1178121876
12425b2348
1325310b19
141604b436
15d3842d5
hex8fca668

150775400 has 48 divisors (see below), whose sum is σ = 352477440. Its totient is φ = 59979200.

The previous prime is 150775399. The next prime is 150775403. The reversal of 150775400 is 4577051.

150775400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150775403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36227 + ... + 40173.

It is an arithmetic number, because the mean of its divisors is an integer number (7343280).

Almost surely, 2150775400 is an apocalyptic number.

150775400 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 150775400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176238720).

150775400 is an abundant number, since it is smaller than the sum of its proper divisors (201702040).

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

150775400 is a wasteful number, since it uses less digits than its factorization.

150775400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 150775400 is about 12279.0634822042. The cubic root of 150775400 is about 532.2432509242.

The spelling of 150775400 in words is "one hundred fifty million, seven hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 191 200 382 764 955 1528 1910 3820 3947 4775 7640 7894 9550 15788 19100 19735 31576 38200 39470 78940 98675 157880 197350 394700 753877 789400 1507754 3015508 3769385 6031016 7538770 15077540 18846925 30155080 37693850 75387700 150775400