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150069760 = 29531261
BaseRepresentation
bin10001111000111…
…10001000000000
3101110101100000021
420330132020000
5301404213020
622520303224
73501400111
oct1074361000
9343340007
10150069760
117778a6a5
1242311b14
1325124899
1415d06208
15d2951aa
hex8f1e200

150069760 has 120 divisors (see below), whose sum is σ = 377892108. Its totient is φ = 57139200.

The previous prime is 150069757. The next prime is 150069793. The reversal of 150069760 is 67960051.

It can be written as a sum of positive squares in 2 ways, for example, as 130142464 + 19927296 = 11408^2 + 4464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2460130 + ... + 2460190.

Almost surely, 2150069760 is an apocalyptic number.

150069760 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 150069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188946054).

150069760 is an abundant number, since it is smaller than the sum of its proper divisors (227822348).

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

150069760 is an frugal number, since it uses more digits than its factorization.

150069760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 150069760 is about 12250.2963229466. The cubic root of 150069760 is about 531.4116396722.

The spelling of 150069760 in words is "one hundred fifty million, sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 61 62 64 80 122 124 128 155 160 244 248 256 305 310 320 488 496 512 610 620 640 961 976 992 1220 1240 1280 1891 1922 1952 1984 2440 2480 2560 3782 3844 3904 3968 4805 4880 4960 7564 7688 7808 7936 9455 9610 9760 9920 15128 15376 15616 15872 18910 19220 19520 19840 30256 30752 31232 37820 38440 39040 39680 58621 60512 61504 75640 76880 78080 79360 117242 121024 123008 151280 153760 156160 234484 242048 246016 293105 302560 307520 468968 484096 492032 586210 605120 615040 937936 968192 1172420 1210240 1230080 1875872 2344840 2420480 2460160 3751744 4689680 4840960 7503488 9379360 15006976 18758720 30013952 37517440 75034880 150069760