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150689344 = 26131391303
BaseRepresentation
bin10001111101101…
…01011001000000
3101111112210220211
420332311121000
5302034024334
622541443504
73506560351
oct1076653100
9344483824
10150689344
1178073153
1242570594
13252b08c0
1416027d28
15d368a64
hex8fb5640

150689344 has 56 divisors (see below), whose sum is σ = 324591680. Its totient is φ = 68995584.

The previous prime is 150689333. The next prime is 150689359. The reversal of 150689344 is 443986051.

It is a junction number, because it is equal to n+sod(n) for n = 150689297 and 150689306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114997 + ... + 116299.

It is an arithmetic number, because the mean of its divisors is an integer number (5796280).

Almost surely, 2150689344 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 150689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162295840).

150689344 is an abundant number, since it is smaller than the sum of its proper divisors (173902336).

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

150689344 is a wasteful number, since it uses less digits than its factorization.

150689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 150689344 is about 12275.5588060178. The cubic root of 150689344 is about 532.1419712679.

The spelling of 150689344 in words is "one hundred fifty million, six hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 139 208 278 416 556 832 1112 1303 1807 2224 2606 3614 4448 5212 7228 8896 10424 14456 16939 20848 28912 33878 41696 57824 67756 83392 115648 135512 181117 271024 362234 542048 724468 1084096 1448936 2354521 2897872 4709042 5795744 9418084 11591488 18836168 37672336 75344672 150689344