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150677660 = 22572694001
BaseRepresentation
bin10001111101100…
…10100010011100
3101111112012220002
420332302202130
5302033141120
622541313432
73506511320
oct1076624234
9344465802
10150677660
11780653a1
1242565878
13252a84a3
1416023980
15d365375
hex8fb289c

150677660 has 48 divisors (see below), whose sum is σ = 363061440. Its totient is φ = 51456000.

The previous prime is 150677603. The next prime is 150677677. The reversal of 150677660 is 66776051.

150677660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35660 + ... + 39660.

It is an arithmetic number, because the mean of its divisors is an integer number (7563780).

Almost surely, 2150677660 is an apocalyptic number.

150677660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150677660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181530720).

150677660 is an abundant number, since it is smaller than the sum of its proper divisors (212383780).

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

150677660 is a wasteful number, since it uses less digits than its factorization.

150677660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 150677660 is about 12275.0828917771. The cubic root of 150677660 is about 532.1282173481.

The spelling of 150677660 in words is "one hundred fifty million, six hundred seventy-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 269 538 1076 1345 1883 2690 3766 4001 5380 7532 8002 9415 16004 18830 20005 28007 37660 40010 56014 80020 112028 140035 280070 560140 1076269 2152538 4305076 5381345 7533883 10762690 15067766 21525380 30135532 37669415 75338830 150677660