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150632320 = 275373631
BaseRepresentation
bin10001111101001…
…11011110000000
3101111102220200211
420332213132000
5302030213240
622540323504
73506232166
oct1076473600
9344386624
10150632320
1178034323
1242543594
1325290967
1416011236
15d356bea
hex8fa7780

150632320 has 64 divisors (see below), whose sum is σ = 361643040. Its totient is φ = 59996160.

The previous prime is 150632303. The next prime is 150632329. The reversal of 150632320 is 23236051.

150632320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 150632291 and 150632300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150632329) 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, 238405 + ... + 239035.

Almost surely, 2150632320 is an apocalyptic number.

150632320 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 150632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180821520).

150632320 is an abundant number, since it is smaller than the sum of its proper divisors (211010720).

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

150632320 is an equidigital number, since it uses as much as digits as its factorization.

150632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 150632320 is about 12273.2359221193. The cubic root of 150632320 is about 532.0748382478.

Adding to 150632320 its reverse (23236051), we get a palindrome (173868371).

The spelling of 150632320 in words is "one hundred fifty million, six hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 373 631 640 746 1262 1492 1865 2524 2984 3155 3730 5048 5968 6310 7460 10096 11936 12620 14920 20192 23872 25240 29840 40384 47744 50480 59680 80768 100960 119360 201920 235363 238720 403840 470726 941452 1176815 1882904 2353630 3765808 4707260 7531616 9414520 15063232 18829040 30126464 37658080 75316160 150632320