Search a number
-
+
890983680 = 2835376271
BaseRepresentation
bin110101000110110…
…101010100000000
32022002112122211120
4311012311110000
53311042434210
6224224512240
731036144026
oct6506652400
92262478746
10890983680
11417a34254
1220a47b680
1311278a7a2
1486490716
155334a270
hex351b5500

890983680 has 144 divisors (see below), whose sum is σ = 2922952704. Its totient is φ = 231137280.

The previous prime is 890983657. The next prime is 890983727. The reversal of 890983680 is 86389098.

It is a congruent number.

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, 138945 + ... + 145215.

Almost surely, 2890983680 is an apocalyptic number.

890983680 is a gapful number since it is divisible by the number (80) 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 890983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461476352).

890983680 is an abundant number, since it is smaller than the sum of its proper divisors (2031969024).

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

890983680 is a wasteful number, since it uses less digits than its factorization.

890983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 890983680 is about 29849.3497416610. The cubic root of 890983680 is about 962.2544238832.

The spelling of 890983680 in words is "eight hundred ninety million, nine hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 555 592 640 740 768 888 960 1110 1184 1280 1480 1776 1920 2220 2368 2960 3552 3840 4440 4736 5920 6271 7104 8880 9472 11840 12542 14208 17760 18813 23680 25084 28416 31355 35520 37626 47360 50168 62710 71040 75252 94065 100336 125420 142080 150504 188130 200672 232027 250840 301008 376260 401344 464054 501680 602016 696081 752520 802688 928108 1003360 1160135 1204032 1392162 1505040 1605376 1856216 2006720 2320270 2408064 2784324 3010080 3480405 3712432 4013440 4640540 4816128 5568648 6020160 6960810 7424864 8026880 9281080 11137296 12040320 13921620 14849728 18562160 22274592 24080640 27843240 29699456 37124320 44549184 55686480 59398912 74248640 89098368 111372960 148497280 178196736 222745920 296994560 445491840 890983680