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700005664 = 2537593997
BaseRepresentation
bin101001101110010…
…011110100100000
31210210011222020201
4221232103310200
52413200140124
6153243314544
723226643561
oct5156236440
91723158221
10700005664
1132a153686
1217651ba54
13b2041b47
1468d7a168
15416c4144
hex29b93d20

700005664 has 48 divisors (see below), whose sum is σ = 1419191928. Its totient is φ = 339628032.

The previous prime is 700005661. The next prime is 700005671. The reversal of 700005664 is 466500007.

It can be written as a sum of positive squares in 4 ways, for example, as 693795600 + 6210064 = 26340^2 + 2492^2 .

It is not an unprimeable number, because it can be changed into a prime (700005661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 701614 + ... + 702610.

Almost surely, 2700005664 is an apocalyptic number.

700005664 is a gapful number since it is divisible by the number (74) 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 700005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709595964).

700005664 is an abundant number, since it is smaller than the sum of its proper divisors (719186264).

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

700005664 is a wasteful number, since it uses less digits than its factorization.

700005664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 700005664 is about 26457.6201499681. The cubic root of 700005664 is about 887.9063965401.

The spelling of 700005664 in words is "seven hundred million, five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 593 997 1184 1186 1994 2372 3988 4744 7976 9488 15952 18976 21941 31904 36889 43882 73778 87764 147556 175528 295112 351056 590224 591221 702112 1180448 1182442 2364884 4729768 9459536 18919072 21875177 43750354 87500708 175001416 350002832 700005664