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150069304 = 237111791361
BaseRepresentation
bin10001111000111…
…10000000111000
3101110101022101101
420330132000320
5301404204204
622520301144
73501365560
oct1074360070
9343338341
10150069304
117778a320
12423117b4
1325124608
1415d05da0
15d294ea4
hex8f1e038

150069304 has 64 divisors (see below), whose sum is σ = 353030400. Its totient is φ = 58099200.

The previous prime is 150069301. The next prime is 150069313. The reversal of 150069304 is 403960051.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150069301) 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, 109584 + ... + 110944.

It is an arithmetic number, because the mean of its divisors is an integer number (5516100).

Almost surely, 2150069304 is an apocalyptic number.

150069304 is a gapful number since it is divisible by the number (14) 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 150069304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176515200).

150069304 is an abundant number, since it is smaller than the sum of its proper divisors (202961096).

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

150069304 is a wasteful number, since it uses less digits than its factorization.

150069304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 150069304 is about 12250.2777111378. The cubic root of 150069304 is about 531.4111014248.

It can be divided in two parts, 15006 and 9304, that added together give a triangular number (24310 = T220).

The spelling of 150069304 in words is "one hundred fifty million, sixty-nine thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 179 308 358 616 716 1253 1361 1432 1969 2506 2722 3938 5012 5444 7876 9527 10024 10888 13783 14971 15752 19054 27566 29942 38108 55132 59884 76216 104797 110264 119768 209594 243619 419188 487238 838376 974476 1705333 1948952 2679809 3410666 5359618 6821332 10719236 13642664 18758663 21438472 37517326 75034652 150069304