Search a number
-
+
890417940 = 223567221497
BaseRepresentation
bin110101000100101…
…011001100010100
32022001110220210020
4311010223030110
53310421333230
6224204425140
731031266446
oct6504531424
92261426706
10890417940
114176881a5
1220a2481b0
13112620129
1486384496
1553287810
hex3512b314

890417940 has 48 divisors (see below), whose sum is σ = 2530393152. Its totient is φ = 233899776.

The previous prime is 890417939. The next prime is 890417953. The reversal of 890417940 is 49714098.

It is a junction number, because it is equal to n+sod(n) for n = 890417892 and 890417901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106729 + ... + 114768.

It is an arithmetic number, because the mean of its divisors is an integer number (52716524).

Almost surely, 2890417940 is an apocalyptic number.

It is an amenable number.

890417940 is an abundant number, since it is smaller than the sum of its proper divisors (1639975212).

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

890417940 is a wasteful number, since it uses less digits than its factorization.

890417940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221576 (or 221574 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 890417940 is about 29839.8716485175. The cubic root of 890417940 is about 962.0507160443.

The spelling of 890417940 in words is "eight hundred ninety million, four hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 221497 442994 664491 885988 1107485 1328982 2214970 2657964 3322455 4429940 6644910 13289820 14840299 29680598 44520897 59361196 74201495 89041794 148402990 178083588 222604485 296805980 445208970 890417940