Search a number
-
+
701806116 = 2231119461607
BaseRepresentation
bin101001110101001…
…011011000100100
31210220120110000010
4221311023120210
52414130243431
6153350050220
723251152654
oct5165133044
91726513003
10701806116
11330173360
12177049970
13b25224bb
14692c8364
154192c846
hex29d4b624

701806116 has 96 divisors (see below), whose sum is σ = 1887621120. Its totient is φ = 200707200.

The previous prime is 701806111. The next prime is 701806129. The reversal of 701806116 is 611608107.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (701806111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1155885 + ... + 1156491.

It is an arithmetic number, because the mean of its divisors is an integer number (19662720).

Almost surely, 2701806116 is an apocalyptic number.

701806116 is a gapful number since it is divisible by the number (76) 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 701806116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943810560).

701806116 is an abundant number, since it is smaller than the sum of its proper divisors (1185815004).

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

701806116 is a wasteful number, since it uses less digits than its factorization.

701806116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 701806116 is about 26491.6235063086. The cubic root of 701806116 is about 888.6669923919. Note that the first 3 decimals are identical.

The spelling of 701806116 in words is "seven hundred one million, eight hundred six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 461 607 627 836 922 1214 1254 1383 1821 1844 2428 2508 2766 3642 5071 5532 6677 7284 8759 10142 11533 13354 15213 17518 20031 20284 23066 26277 26708 30426 34599 35036 40062 46132 52554 60852 69198 80124 96349 105108 126863 138396 192698 253726 279827 289047 380589 385396 507452 559654 578094 761178 839481 1119308 1156188 1522356 1678962 3078097 3357924 5316713 6156194 9234291 10633426 12312388 15950139 18468582 21266852 31900278 36937164 58483843 63800556 116967686 175451529 233935372 350903058 701806116