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890339840 = 2951331863
BaseRepresentation
bin110101000100011…
…000001000000000
32022001022221122122
4311010120020000
53310411333330
6224203023412
731030522655
oct6504301000
92261287578
10890339840
11417634555
1220a20ab68
131125c3710
1486363c2c
155326e5e5
hex35118200

890339840 has 160 divisors (see below), whose sum is σ = 2375847936. Its totient is φ = 317767680.

The previous prime is 890339839. The next prime is 890339869. The reversal of 890339840 is 48933098.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 890339791 and 890339800.

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, 1031249 + ... + 1032111.

Almost surely, 2890339840 is an apocalyptic number.

890339840 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 890339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187923968).

890339840 is an abundant number, since it is smaller than the sum of its proper divisors (1485508096).

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

890339840 is a wasteful number, since it uses less digits than its factorization.

890339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 890339840 is about 29838.5629680787. The cubic root of 890339840 is about 962.0225875463.

The spelling of 890339840 in words is "eight hundred ninety million, three hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 128 130 155 160 208 248 256 260 310 320 403 416 496 512 520 620 640 806 832 863 992 1040 1240 1280 1612 1664 1726 1984 2015 2080 2480 2560 3224 3328 3452 3968 4030 4160 4315 4960 6448 6656 6904 7936 8060 8320 8630 9920 11219 12896 13808 15872 16120 16640 17260 19840 22438 25792 26753 27616 32240 33280 34520 39680 44876 51584 53506 55232 56095 64480 69040 79360 89752 103168 107012 110464 112190 128960 133765 138080 179504 206336 214024 220928 224380 257920 267530 276160 347789 359008 428048 441856 448760 515840 535060 552320 695578 718016 856096 897520 1031680 1070120 1104640 1391156 1436032 1712192 1738945 1795040 2140240 2209280 2782312 2872064 3424384 3477890 3590080 4280480 5564624 5744128 6848768 6955780 7180160 8560960 11129248 13697536 13911560 14360320 17121920 22258496 27823120 28720640 34243840 44516992 55646240 68487680 89033984 111292480 178067968 222584960 445169920 890339840