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150452190 = 232571311823
BaseRepresentation
bin10001111011110…
…11011111011110
3101111002202121100
420331323133132
5302003432230
622532413530
73504552060
oct1075733736
9344082540
10150452190
1177a20a59
12424772a6
1325229985
1415da5730
15d31d660
hex8f7b7de

150452190 has 96 divisors (see below), whose sum is σ = 450717696. Its totient is φ = 34107840.

The previous prime is 150452189. The next prime is 150452221. The reversal of 150452190 is 91254051.

150452190 is a `hidden beast` number, since 1 + 50 + 4 + 521 + 90 = 666.

It is a super-2 number, since 2×1504521902 = 45271722951592200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81619 + ... + 83441.

It is an arithmetic number, because the mean of its divisors is an integer number (4694976).

Almost surely, 2150452190 is an apocalyptic number.

150452190 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 150452190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225358848).

150452190 is an abundant number, since it is smaller than the sum of its proper divisors (300265506).

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

150452190 is a wasteful number, since it uses less digits than its factorization.

150452190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 150452190 is about 12265.8954014780. The cubic root of 150452190 is about 531.8626640617.

The spelling of 150452190 in words is "one hundred fifty million, four hundred fifty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 131 210 262 315 393 630 655 786 917 1179 1310 1823 1834 1965 2358 2751 3646 3930 4585 5469 5502 5895 8253 9115 9170 10938 11790 12761 13755 16407 16506 18230 25522 27345 27510 32814 38283 41265 54690 63805 76566 82035 82530 114849 127610 164070 191415 229698 238813 382830 477626 574245 716439 1148490 1194065 1432878 1671691 2149317 2388130 3343382 3582195 4298634 5015073 7164390 8358455 10030146 10746585 15045219 16716910 21493170 25075365 30090438 50150730 75226095 150452190