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150705480 = 233589103137
BaseRepresentation
bin10001111101110…
…01010101001000
3101111120122001110
420332321111020
5302040033410
622542050320
73506655402
oct1076712510
9344518043
10150705480
1178084292
12425799a0
13252b8053
141602db72
15d36d720
hex8fb9548

150705480 has 128 divisors (see below), whose sum is σ = 465004800. Its totient is φ = 39063552.

The previous prime is 150705469. The next prime is 150705491. The reversal of 150705480 is 84507051.

150705480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150705469) and next prime (150705491).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1099972 + ... + 1100108.

It is an arithmetic number, because the mean of its divisors is an integer number (3632850).

Almost surely, 2150705480 is an apocalyptic number.

150705480 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 150705480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232502400).

150705480 is an abundant number, since it is smaller than the sum of its proper divisors (314299320).

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

150705480 is a wasteful number, since it uses less digits than its factorization.

150705480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 150705480 is about 12276.2160293797. The cubic root of 150705480 is about 532.1609647286.

The spelling of 150705480 in words is "one hundred fifty million, seven hundred five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 103 120 137 178 206 267 274 309 356 411 412 445 515 534 548 618 685 712 822 824 890 1030 1068 1096 1236 1335 1370 1545 1644 1780 2055 2060 2136 2472 2670 2740 3090 3288 3560 4110 4120 5340 5480 6180 8220 9167 10680 12193 12360 14111 16440 18334 24386 27501 28222 36579 36668 42333 45835 48772 55002 56444 60965 70555 73158 73336 84666 91670 97544 110004 112888 121930 137505 141110 146316 169332 182895 183340 211665 220008 243860 275010 282220 292632 338664 365790 366680 423330 487720 550020 564440 731580 846660 1100040 1255879 1463160 1693320 2511758 3767637 5023516 6279395 7535274 10047032 12558790 15070548 18838185 25117580 30141096 37676370 50235160 75352740 150705480