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150536380 = 22523893677
BaseRepresentation
bin10001111100100…
…00000010111100
3101111021001002111
420332100002330
5302014131010
622534303404
73505352401
oct1076200274
9344231074
10150536380
1177a79235
12424b7b64
13252590a7
1415dc82a8
15d33858a
hex8f900bc

150536380 has 48 divisors (see below), whose sum is σ = 333668160. Its totient is φ = 56933888.

The previous prime is 150536371. The next prime is 150536381. The reversal of 150536380 is 83635051.

It is a super-2 number, since 2×1505363802 = 45322403407008800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150536381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39102 + ... + 42778.

It is an arithmetic number, because the mean of its divisors is an integer number (6951420).

Almost surely, 2150536380 is an apocalyptic number.

150536380 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 150536380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166834080).

150536380 is an abundant number, since it is smaller than the sum of its proper divisors (183131780).

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

150536380 is a wasteful number, since it uses less digits than its factorization.

150536380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 150536380 is about 12269.3267948979. The cubic root of 150536380 is about 531.9618520896.

The spelling of 150536380 in words is "one hundred fifty million, five hundred thirty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 89 92 115 178 230 356 445 460 890 1780 2047 3677 4094 7354 8188 10235 14708 18385 20470 36770 40940 73540 84571 169142 327253 338284 422855 654506 845710 1309012 1636265 1691420 3272530 6545060 7526819 15053638 30107276 37634095 75268190 150536380