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701720064 = 2933232207
BaseRepresentation
bin101001110100110…
…110011000000000
31210220102001222000
4221310312120000
52414120020224
6153344144000
723250344043
oct5164663000
91726361860
10701720064
11330114741
12177008000
13b24c2296
14692a4c5a
15419120c9
hex29d36600

701720064 has 160 divisors (see below), whose sum is σ = 2168432640. Its totient is φ = 223635456.

The previous prime is 701720039. The next prime is 701720077. The reversal of 701720064 is 460027107.

It is a super-2 number, since 2×7017200642 = 984822096440328192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 316849 + ... + 319055.

It is an arithmetic number, because the mean of its divisors is an integer number (13552704).

Almost surely, 2701720064 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 701720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084216320).

701720064 is an abundant number, since it is smaller than the sum of its proper divisors (1466712576).

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

701720064 is a wasteful number, since it uses less digits than its factorization.

701720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 701720064 is about 26489.9993204983. Note that the first 3 decimals coincide. The cubic root of 701720064 is about 888.6306695880.

The spelling of 701720064 in words is "seven hundred one million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1104 1152 1242 1472 1536 1656 1728 2207 2208 2304 2484 2944 3312 3456 4414 4416 4608 4968 5888 6621 6624 6912 8828 8832 9936 11776 13242 13248 13824 17656 17664 19863 19872 26484 26496 35312 35328 39726 39744 50761 52968 52992 59589 70624 79452 79488 101522 105936 105984 119178 141248 152283 158904 158976 203044 211872 238356 282496 304566 317808 317952 406088 423744 456849 476712 564992 609132 635616 812176 847488 913698 953424 1129984 1218264 1271232 1370547 1624352 1694976 1827396 1906848 2436528 2542464 2741094 3248704 3389952 3654792 3813696 4873056 5084928 5482188 6497408 7309584 7627392 9746112 10169856 10964376 12994816 14619168 15254784 19492224 21928752 25989632 29238336 30509568 38984448 43857504 58476672 77968896 87715008 116953344 175430016 233906688 350860032 701720064