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150347106 = 232713263349
BaseRepresentation
bin10001111011000…
…01110101100010
3101110220102110100
420331201311202
5301442101411
622530243230
73503633520
oct1075416542
9343812410
10150347106
117795a008
1242426516
13251c0bb0
1415d79310
15d2ec456
hex8f61d62

150347106 has 96 divisors (see below), whose sum is σ = 403603200. Its totient is φ = 39388032.

The previous prime is 150347101. The next prime is 150347147. The reversal of 150347106 is 601743051.

150347106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 150347106.

It is not an unprimeable number, because it can be changed into a prime (150347101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430620 + ... + 430968.

It is an arithmetic number, because the mean of its divisors is an integer number (4204200).

Almost surely, 2150347106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150347106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

150347106 is an abundant number, since it is smaller than the sum of its proper divisors (253256094).

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

150347106 is a wasteful number, since it uses less digits than its factorization.

150347106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 150347106 is about 12261.6110686973. The cubic root of 150347106 is about 531.7388079417.

The spelling of 150347106 in words is "one hundred fifty million, three hundred forty-seven thousand, one hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 263 273 349 526 546 698 789 819 1047 1578 1638 1841 2094 2367 2443 3141 3419 3682 4537 4734 4886 5523 6282 6838 7329 9074 10257 11046 13611 14658 16569 20514 21987 23933 27222 30771 31759 33138 40833 43974 47866 61542 63518 71799 81666 91787 95277 143598 183574 190554 215397 275361 285831 430794 550722 571662 642509 826083 1193231 1285018 1652166 1927527 2386462 3579693 3855054 5782581 7159386 8352617 10739079 11565162 16705234 21478158 25057851 50115702 75173553 150347106