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150676120 = 23573117359
BaseRepresentation
bin10001111101100…
…10001010011000
3101111112010210001
420332302022120
5302033113440
622541302344
73506503660
oct1076621230
9344463701
10150676120
1178064221
12425649b4
13252a788a
14160231a0
15d364b9a
hex8fb2298

150676120 has 64 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 49991040.

The previous prime is 150676103. The next prime is 150676133. The reversal of 150676120 is 21676051.

150676120 is a nontrivial binomial coefficient, being equal to C(17360, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1 + ... + 17359.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600).

Almost surely, 2150676120 is an apocalyptic number.

150676120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150676120 is the 17359-th triangular number and also the 8680-th hexagonal number.

150676120 is the 5787-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150676120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

150676120 is an abundant number, since it is smaller than the sum of its proper divisors (249298280).

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

150676120 is a wasteful number, since it uses less digits than its factorization.

150676120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17408 (or 17404 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 150676120 is about 12275.0201629162. The cubic root of 150676120 is about 532.1264044709.

The spelling of 150676120 in words is "one hundred fifty million, six hundred seventy-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 17359 34718 69436 86795 121513 138872 173590 243026 347180 486052 538129 607565 694360 972104 1076258 1215130 2152516 2430260 2690645 3766903 4305032 4860520 5381290 7533806 10762580 15067612 18834515 21525160 30135224 37669030 75338060 150676120