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668070972 = 2232234717167
BaseRepresentation
bin100111110100011…
…111010000111100
31201120002112002100
4213310133100330
52332011232342
6150143025100
722361336532
oct4764372074
91646075070
10668070972
11313121678
1216789b190
13a854038a
1464a26152
153d9b6e4c
hex27d1f43c

668070972 has 72 divisors (see below), whose sum is σ = 1799755776. Its totient is φ = 208463904.

The previous prime is 668070967. The next prime is 668070973. The reversal of 668070972 is 279070866.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668070973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30333 + ... + 47499.

It is an arithmetic number, because the mean of its divisors is an integer number (24996608).

Almost surely, 2668070972 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 668070972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899877888).

668070972 is an abundant number, since it is smaller than the sum of its proper divisors (1131684804).

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

668070972 is a wasteful number, since it uses less digits than its factorization.

668070972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17247 (or 17242 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 668070972 is about 25847.0689247350. The cubic root of 668070972 is about 874.1934214013.

The spelling of 668070972 in words is "six hundred sixty-eight million, seventy thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 47 69 92 94 138 141 188 207 276 282 414 423 564 828 846 1081 1692 2162 3243 4324 6486 9729 12972 17167 19458 34334 38916 51501 68668 103002 154503 206004 309006 394841 618012 789682 806849 1184523 1579364 1613698 2369046 2420547 3227396 3553569 4738092 4841094 7107138 7261641 9682188 14214276 14523282 18557527 29046564 37115054 55672581 74230108 111345162 167017743 222690324 334035486 668070972