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150640384 = 2829103197
BaseRepresentation
bin10001111101010…
…01011100000000
3101111110022202111
420332221130000
5302030443014
622540425104
73506264536
oct1076513400
9344408674
10150640384
117803a394
1242548194
132529452b
1416014156
15d3592c4
hex8fa9700

150640384 has 72 divisors (see below), whose sum is σ = 315675360. Its totient is φ = 71651328.

The previous prime is 150640381. The next prime is 150640387. The reversal of 150640384 is 483046051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150640381) and next prime (150640387).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150640381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764574 + ... + 764770.

It is an arithmetic number, because the mean of its divisors is an integer number (4384380).

Almost surely, 2150640384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150640384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157837680).

150640384 is an abundant number, since it is smaller than the sum of its proper divisors (165034976).

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

150640384 is a wasteful number, since it uses less digits than its factorization.

150640384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 150640384 is about 12273.5644374403. The cubic root of 150640384 is about 532.0843328347.

The spelling of 150640384 in words is "one hundred fifty million, six hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 103 116 128 197 206 232 256 394 412 464 788 824 928 1576 1648 1856 2987 3152 3296 3712 5713 5974 6304 6592 7424 11426 11948 12608 13184 20291 22852 23896 25216 26368 40582 45704 47792 50432 81164 91408 95584 162328 182816 191168 324656 365632 382336 588439 649312 731264 764672 1176878 1298624 1462528 2353756 2597248 4707512 5194496 9415024 18830048 37660096 75320192 150640384