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150310320 = 24353189227
BaseRepresentation
bin10001111010110…
…00110110110000
3101110211112222220
420331120312300
5301434412240
622525401040
73503421336
oct1075306660
9343745886
10150310320
1177934406
1242409180
13251aa224
1415d69b56
15d2e15d0
hex8f58db0

150310320 has 160 divisors (see below), whose sum is σ = 488540160. Its totient is φ = 38184960.

The previous prime is 150310319. The next prime is 150310331. The reversal of 150310320 is 23013051.

It is a happy number.

150310320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 150310320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662047 + ... + 662273.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2150310320 is an apocalyptic number.

150310320 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 150310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

150310320 is an abundant number, since it is smaller than the sum of its proper divisors (338229840).

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

150310320 is a wasteful number, since it uses less digits than its factorization.

150310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 150310320 is about 12260.1109293513. The cubic root of 150310320 is about 531.6954368833.

Adding to 150310320 its reverse (23013051), we get a palindrome (173323371).

The spelling of 150310320 in words is "one hundred fifty million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 89 93 120 124 155 178 186 227 240 248 267 310 356 372 445 454 465 496 534 620 681 712 744 890 908 930 1068 1135 1240 1335 1362 1424 1488 1780 1816 1860 2136 2270 2480 2670 2724 2759 3405 3560 3632 3720 4272 4540 5340 5448 5518 6810 7037 7120 7440 8277 9080 10680 10896 11036 13620 13795 14074 16554 18160 20203 21111 21360 22072 27240 27590 28148 33108 35185 40406 41385 42222 44144 54480 55180 56296 60609 66216 70370 80812 82770 84444 101015 105555 110360 112592 121218 132432 140740 161624 165540 168888 202030 211110 220720 242436 281480 303045 323248 331080 337776 404060 422220 484872 562960 606090 626293 662160 808120 844440 969744 1212180 1252586 1616240 1688880 1878879 2424360 2505172 3131465 3757758 4848720 5010344 6262930 7515516 9394395 10020688 12525860 15031032 18788790 25051720 30062064 37577580 50103440 75155160 150310320