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150268470 = 235113137397
BaseRepresentation
bin10001111010011…
…10101000110110
3101110202102120220
420331032220312
5301432042340
622524435210
73503155332
oct1075165066
9343672526
10150268470
1177905a20
12423a8b06
1325194171
1415d587c2
15d2d3ed0
hex8f4ea36

150268470 has 128 divisors (see below), whose sum is σ = 418148352. Its totient is φ = 34214400.

The previous prime is 150268427. The next prime is 150268477. The reversal of 150268470 is 74862051.

150268470 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1502684702 = 45161226152281800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150268477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378312 + ... + 378708.

It is an arithmetic number, because the mean of its divisors is an integer number (3266784).

Almost surely, 2150268470 is an apocalyptic number.

150268470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150268470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209074176).

150268470 is an abundant number, since it is smaller than the sum of its proper divisors (267879882).

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

150268470 is a wasteful number, since it uses less digits than its factorization.

150268470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 150268470 is about 12258.4040559936. The cubic root of 150268470 is about 531.6460867135.

The spelling of 150268470 in words is "one hundred fifty million, two hundred sixty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 37 55 62 66 74 93 110 111 155 165 185 186 222 310 330 341 370 397 407 465 555 682 794 814 930 1023 1110 1147 1191 1221 1705 1985 2035 2046 2294 2382 2442 3410 3441 3970 4070 4367 5115 5735 5955 6105 6882 8734 10230 11470 11910 12210 12307 12617 13101 14689 17205 21835 24614 25234 26202 29378 34410 36921 37851 43670 44067 61535 63085 65505 73445 73842 75702 88134 123070 126170 131010 135377 146890 161579 184605 189255 220335 270754 323158 369210 378510 406131 440670 455359 484737 676885 807895 812262 910718 969474 1353770 1366077 1615790 2030655 2276795 2423685 2732154 4061310 4553590 4847370 5008949 6830385 10017898 13660770 15026847 25044745 30053694 50089490 75134235 150268470