Search a number
-
+
890697720 = 233511674771
BaseRepresentation
bin110101000101101…
…111011111111000
32022002000010120110
4311011233133320
53311004311340
6224214424320
731033543233
oct6505573770
92262003513
10890697720
11417859420
1220a3620a0
131126ba593
148641841a
15532e0680
hex3516f7f8

890697720 has 64 divisors (see below), whose sum is σ = 2915015040. Its totient is φ = 215926400.

The previous prime is 890697697. The next prime is 890697727. The reversal of 890697720 is 27796098.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 890697720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890697727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336066 + ... + 338705.

It is an arithmetic number, because the mean of its divisors is an integer number (45547110).

Almost surely, 2890697720 is an apocalyptic number.

It is an amenable number.

890697720 is an abundant number, since it is smaller than the sum of its proper divisors (2024317320).

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

890697720 is a wasteful number, since it uses less digits than its factorization.

890697720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674796 (or 674792 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 890697720 is about 29844.5593031628. The cubic root of 890697720 is about 962.1514681184.

The spelling of 890697720 in words is "eight hundred ninety million, six hundred ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 674771 1349542 2024313 2699084 3373855 4048626 5398168 6747710 7422481 8097252 10121565 13495420 14844962 16194504 20243130 22267443 26990840 29689924 37112405 40486260 44534886 59379848 74224810 80972520 89069772 111337215 148449620 178139544 222674430 296899240 445348860 890697720