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150931040 = 25513149487
BaseRepresentation
bin10001111111100…
…00011001100000
3101112000002110112
420333300121200
5302114243130
622550550452
73511615121
oct1077603140
9345002415
10150931040
11782187a7
1242668428
1325366910
141608c048
15d3b5495
hex8ff0660

150931040 has 96 divisors (see below), whose sum is σ = 387374400. Its totient is φ = 55240704.

The previous prime is 150931031. The next prime is 150931091. The reversal of 150931040 is 40139051.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 150930997 and 150931015.

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 15 ways as a sum of consecutive naturals, for example, 309677 + ... + 310163.

It is an arithmetic number, because the mean of its divisors is an integer number (4035150).

Almost surely, 2150931040 is an apocalyptic number.

150931040 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 150931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193687200).

150931040 is an abundant number, since it is smaller than the sum of its proper divisors (236443360).

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

150931040 is a wasteful number, since it uses less digits than its factorization.

150931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 150931040 is about 12285.3994644049. The cubic root of 150931040 is about 532.4263264396.

The spelling of 150931040 in words is "one hundred fifty million, nine hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 149 160 208 260 298 416 487 520 596 745 974 1040 1192 1490 1937 1948 2080 2384 2435 2980 3874 3896 4768 4870 5960 6331 7748 7792 9685 9740 11920 12662 15496 15584 19370 19480 23840 25324 30992 31655 38740 38960 50648 61984 63310 72563 77480 77920 101296 126620 145126 154960 202592 253240 290252 309920 362815 506480 580504 725630 943319 1012960 1161008 1451260 1886638 2322016 2902520 3773276 4716595 5805040 7546552 9433190 11610080 15093104 18866380 30186208 37732760 75465520 150931040