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714668112 = 243229533229
BaseRepresentation
bin101010100110001…
…111100001010000
31211210202220100100
4222212033201100
52430423334422
6154525452400
723465402334
oct5246174120
91753686310
10714668112
11337458804
1217b411100
13b50a6952
146acb57c4
1542b1d7ac
hex2a98f850

714668112 has 120 divisors (see below), whose sum is σ = 2108737800. Its totient is φ = 225598464.

The previous prime is 714668099. The next prime is 714668113. The reversal of 714668112 is 211866417.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 117158976 + 597509136 = 10824^2 + 24444^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714668113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 219714 + ... + 222942.

It is an arithmetic number, because the mean of its divisors is an integer number (17572815).

Almost surely, 2714668112 is an apocalyptic number.

714668112 is a gapful number since it is divisible by the number (72) 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 714668112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054368900).

714668112 is an abundant number, since it is smaller than the sum of its proper divisors (1394069688).

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

714668112 is a wasteful number, since it uses less digits than its factorization.

714668112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3316 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 714668112 is about 26733.2772401739. The cubic root of 714668112 is about 894.0630257505.

The spelling of 714668112 in words is "seven hundred fourteen million, six hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 53 58 72 87 106 116 144 159 174 212 232 261 318 348 424 464 477 522 636 696 848 954 1044 1272 1392 1537 1908 2088 2544 3074 3229 3816 4176 4611 6148 6458 7632 9222 9687 12296 12916 13833 18444 19374 24592 25832 27666 29061 36888 38748 51664 55332 58122 73776 77496 93641 110664 116244 154992 171137 187282 221328 232488 280923 342274 374564 464976 513411 561846 684548 749128 842769 1026822 1123692 1369096 1498256 1540233 1685538 2053644 2247384 2738192 3080466 3371076 4107288 4494768 4962973 6160932 6742152 8214576 9925946 12321864 13484304 14888919 19851892 24643728 29777838 39703784 44666757 59555676 79407568 89333514 119111352 178667028 238222704 357334056 714668112