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150381500 = 2253673
BaseRepresentation
bin10001111011010…
…10001110111100
3101110222011122012
420331222032330
5301444202000
622531110352
73504136013
oct1075521674
9343864565
10150381500
1177982935
12424423b8
1325203749
1415d87a7a
15d307735
hex8f6a3bc

150381500 has 48 divisors (see below), whose sum is σ = 333409440. Its totient is φ = 59254800.

The previous prime is 150381499. The next prime is 150381557. The reversal of 150381500 is 5183051.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×1503815002 = 45229191084500000, which contains 22 as substring.

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, 2244467 + ... + 2244533.

It is an arithmetic number, because the mean of its divisors is an integer number (6946030).

Almost surely, 2150381500 is an apocalyptic number.

150381500 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 150381500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166704720).

150381500 is an abundant number, since it is smaller than the sum of its proper divisors (183027940).

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

150381500 is an frugal number, since it uses more digits than its factorization.

150381500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 150381500 is about 12263.0134958745. The cubic root of 150381500 is about 531.7793524093.

The spelling of 150381500 in words is "one hundred fifty million, three hundred eighty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 125 134 250 268 335 500 670 1340 1675 3350 4489 6700 8375 8978 16750 17956 22445 33500 44890 89780 112225 224450 300763 448900 561125 601526 1122250 1203052 1503815 2244500 3007630 6015260 7519075 15038150 30076300 37595375 75190750 150381500