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706701216 = 253132431013
BaseRepresentation
bin101010000111110…
…110011110100000
31211020210010211010
4222013312132200
52421403414331
6154043020520
723340601254
oct5207663640
91736703733
10706701216
11332a070a1
1217880a740
13b3547600
1469c00264
1542097e46
hex2a1f67a0

706701216 has 144 divisors (see below), whose sum is σ = 2057511456. Its totient is φ = 212179968.

The previous prime is 706701179. The next prime is 706701217. The reversal of 706701216 is 612107607.

It is a happy number.

706701216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (706701217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697126 + ... + 698138.

It is an arithmetic number, because the mean of its divisors is an integer number (14288274).

Almost surely, 2706701216 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 706701216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028755728).

706701216 is an abundant number, since it is smaller than the sum of its proper divisors (1350810240).

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

706701216 is a wasteful number, since it uses less digits than its factorization.

706701216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 706701216 is about 26583.8525424740. The cubic root of 706701216 is about 890.7283588608.

The spelling of 706701216 in words is "seven hundred six million, seven hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 169 172 208 258 312 338 344 416 507 516 559 624 676 688 1013 1014 1032 1118 1248 1352 1376 1677 2026 2028 2064 2236 2704 3039 3354 4052 4056 4128 4472 5408 6078 6708 7267 8104 8112 8944 12156 13169 13416 14534 16208 16224 17888 21801 24312 26338 26832 29068 32416 39507 43559 43602 48624 52676 53664 58136 79014 87118 87204 97248 105352 116272 130677 158028 171197 174236 174408 210704 232544 261354 316056 342394 348472 348816 421408 513591 522708 566267 632112 684788 696944 697632 1027182 1045416 1132534 1264224 1369576 1393888 1698801 2054364 2090832 2265068 2739152 3397602 4108728 4181664 4530136 5478304 6795204 7361471 8217456 9060272 13590408 14722942 16434912 18120544 22084413 27180816 29445884 44168826 54361632 58891768 88337652 117783536 176675304 235567072 353350608 706701216