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667990152 = 23347114519
BaseRepresentation
bin100111110100001…
…011100010001000
31201112221102020000
4213310023202020
52332001141102
6150141203000
722360552104
oct4764134210
91645842200
10667990152
11313076985
12167860460
13a851265b
1464a04904
153d99d01c
hex27d0b888

667990152 has 80 divisors (see below), whose sum is σ = 1897473600. Its totient is φ = 219512160.

The previous prime is 667990117. The next prime is 667990207. The reversal of 667990152 is 251099766.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 667990098 and 667990107.

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 19 ways as a sum of consecutive naturals, for example, 38749 + ... + 53267.

It is an arithmetic number, because the mean of its divisors is an integer number (23718420).

Almost surely, 2667990152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667990152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948736800).

667990152 is an abundant number, since it is smaller than the sum of its proper divisors (1229483448).

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

667990152 is a wasteful number, since it uses less digits than its factorization.

667990152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14608 (or 14595 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 667990152 is about 25845.5054506581. The cubic root of 667990152 is about 874.1581680801.

The spelling of 667990152 in words is "six hundred sixty-seven million, nine hundred ninety thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 648 852 1278 1704 1917 2556 3834 5112 5751 7668 11502 14519 15336 23004 29038 43557 46008 58076 87114 116152 130671 174228 261342 348456 392013 522684 784026 1030849 1045368 1176039 1568052 2061698 2352078 3092547 3136104 4123396 4704156 6185094 8246792 9277641 9408312 12370188 18555282 24740376 27832923 37110564 55665846 74221128 83498769 111331692 166997538 222663384 333995076 667990152