Search a number
-
+
769701420 = 223354912903
BaseRepresentation
bin101101111000001…
…011011000101100
31222122022212212000
4231320023120230
53034020421140
6204213212300
725034232315
oct5570133054
91878285760
10769701420
11365527084
12195931090
13c3605037
147431d60c
154788ea30
hex2de0b62c

769701420 has 96 divisors (see below), whose sum is σ = 2400330240. Its totient is φ = 204765120.

The previous prime is 769701409. The next prime is 769701437. The reversal of 769701420 is 24107967.

It is a happy number.

769701420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263689 + ... + 266591.

It is an arithmetic number, because the mean of its divisors is an integer number (25003440).

Almost surely, 2769701420 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 769701420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200165120).

769701420 is an abundant number, since it is smaller than the sum of its proper divisors (1630628820).

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

769701420 is a wasteful number, since it uses less digits than its factorization.

769701420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 769701420 is about 27743.4932912206. The cubic root of 769701420 is about 916.4471590473.

The spelling of 769701420 in words is "seven hundred sixty-nine million, seven hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 491 540 982 1473 1964 2455 2903 2946 4419 4910 5806 5892 7365 8709 8838 9820 11612 13257 14515 14730 17418 17676 22095 26127 26514 29030 29460 34836 43545 44190 52254 53028 58060 66285 78381 87090 88380 104508 130635 132570 156762 174180 261270 265140 313524 391905 522540 783810 1425373 1567620 2850746 4276119 5701492 7126865 8552238 12828357 14253730 17104476 21380595 25656714 28507460 38485071 42761190 51313428 64141785 76970142 85522380 128283570 153940284 192425355 256567140 384850710 769701420