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150400320 = 2635722381
BaseRepresentation
bin10001111011011…
…10110101000000
3101111000010110020
420331232311000
5302000302240
622531333440
73504244620
oct1075566500
9344003406
10150400320
1177995a94
1242451280
132520c195
1415d90880
15d30d0d0
hex8f6ed40

150400320 has 112 divisors (see below), whose sum is σ = 545762688. Its totient is φ = 34375680.

The previous prime is 150400303. The next prime is 150400361. The reversal of 150400320 is 23004051.

150400320 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 (112).

It is a super-2 number, since 2×1504003202 = 45240512512204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 150400320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4471 + ... + 17910.

Almost surely, 2150400320 is an apocalyptic number.

150400320 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 150400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272881344).

150400320 is an abundant number, since it is smaller than the sum of its proper divisors (395362368).

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

150400320 is a wasteful number, since it uses less digits than its factorization.

150400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22408 (or 22398 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 150400320 is about 12263.7808199592. The cubic root of 150400320 is about 531.8015352575.

Adding to 150400320 its reverse (23004051), we get a palindrome (173404371).

The spelling of 150400320 in words is "one hundred fifty million, four hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 22381 44762 67143 89524 111905 134286 156667 179048 223810 268572 313334 335715 358096 447620 470001 537144 626668 671430 716192 783335 895240 940002 1074288 1253336 1342860 1432384 1566670 1790480 1880004 2148576 2350005 2506672 2685720 3133340 3580960 3760008 4297152 4700010 5013344 5371440 6266680 7161920 7520016 9400020 10026688 10742880 12533360 15040032 18800040 21485760 25066720 30080064 37600080 50133440 75200160 150400320