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150377094 = 23373141313
BaseRepresentation
bin10001111011010…
…01001010000110
3101110221221121000
420331221022012
5301444031334
622531034130
73504120120
oct1075511206
9343857530
10150377094
117797a59a
124243b946
132520173a
1415d86210
15d306299
hex8f69286

150377094 has 128 divisors (see below), whose sum is σ = 405135360. Its totient is φ = 40435200.

The previous prime is 150377089. The next prime is 150377099. The reversal of 150377094 is 490773051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150377089) and next prime (150377099).

It is a super-2 number, since 2×1503770942 = 45226540799769672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150377099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480282 + ... + 480594.

It is an arithmetic number, because the mean of its divisors is an integer number (3165120).

Almost surely, 2150377094 is an apocalyptic number.

150377094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150377094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202567680).

150377094 is an abundant number, since it is smaller than the sum of its proper divisors (254758266).

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

150377094 is a wasteful number, since it uses less digits than its factorization.

150377094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 150377094 is about 12262.8338486665. The cubic root of 150377094 is about 531.7741588567.

The spelling of 150377094 in words is "one hundred fifty million, three hundred seventy-seven thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 41 42 54 62 63 82 93 123 126 186 189 217 246 279 287 313 369 378 434 558 574 626 651 738 837 861 939 1107 1271 1302 1674 1722 1878 1953 2191 2214 2542 2583 2817 3813 3906 4382 5166 5634 5859 6573 7626 7749 8451 8897 9703 11439 11718 12833 13146 15498 16902 17794 19406 19719 22878 25666 26691 29109 34317 38499 39438 53382 58218 59157 67921 68634 76998 80073 87327 89831 115497 118314 135842 160146 174654 179662 203763 230994 240219 261981 269493 346491 397823 407526 480438 523962 538986 611289 692982 795646 808479 1193469 1222578 1616958 1833867 2386938 2425437 2784761 3580407 3667734 4850874 5569522 7160814 8354283 10741221 16708566 21482442 25062849 50125698 75188547 150377094