Search a number
-
+
720001968 = 24376413343
BaseRepresentation
bin101010111010100…
…101101110110000
31212011210220000120
4222322211232300
52433310030333
6155240050240
723561626050
oct5272455660
91764726016
10720001968
1133a471154
12181163980
13b622368a
146b8a3560
1543323db3
hex2aea5bb0

720001968 has 80 divisors (see below), whose sum is σ = 2129673216. Its totient is φ = 205332480.

The previous prime is 720001927. The next prime is 720001973. The reversal of 720001968 is 869100027.

It is a super-3 number, since 3×7200019683 (a number of 28 digits) contains 333 as substring.

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, 213705 + ... + 217047.

Almost surely, 2720001968 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 720001968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064836608).

720001968 is an abundant number, since it is smaller than the sum of its proper divisors (1409671248).

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

720001968 is a wasteful number, since it uses less digits than its factorization.

720001968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 720001968 is about 26832.8524014872. The cubic root of 720001968 is about 896.2817659222.

The spelling of 720001968 in words is "seven hundred twenty million, one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 641 1282 1923 2564 3343 3846 4487 5128 6686 7692 8974 10029 10256 13372 13461 15384 17948 20058 23401 26744 26922 30768 35896 40116 46802 53488 53844 70203 71792 80232 93604 107688 140406 160464 187208 215376 280812 374416 561624 1123248 2142863 4285726 6428589 8571452 12857178 15000041 17142904 25714356 30000082 34285808 45000123 51428712 60000164 90000246 102857424 120000328 180000492 240000656 360000984 720001968