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2098139040 = 253254393319
BaseRepresentation
bin111110100001111…
…0000111110100000
312102020000111200100
41331003300332200
513244110422130
6544110222400
7102664613304
oct17503607640
95366014610
102098139040
11987387a08
124a67b4a00
132758b8aba
1415c923d04
15c42eac60
hex7d0f0fa0

2098139040 has 144 divisors (see below), whose sum is σ = 7178371200. Its totient is φ = 558061056.

The previous prime is 2098139039. The next prime is 2098139053. The reversal of 2098139040 is 409318902.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2098138986 and 2098139004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630501 + ... + 633819.

It is an arithmetic number, because the mean of its divisors is an integer number (49849800).

Almost surely, 22098139040 is an apocalyptic number.

2098139040 is a gapful number since it is divisible by the number (20) 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 2098139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589185600).

2098139040 is an abundant number, since it is smaller than the sum of its proper divisors (5080232160).

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

2098139040 is a wasteful number, since it uses less digits than its factorization.

2098139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2098139040 is about 45805.4477109437. The cubic root of 2098139040 is about 1280.2007823055.

The spelling of 2098139040 in words is "two billion, ninety-eight million, one hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 439 480 720 878 1317 1440 1756 2195 2634 3319 3512 3951 4390 5268 6585 6638 7024 7902 8780 9957 10536 13170 13276 14048 15804 16595 17560 19755 19914 21072 26340 26552 29871 31608 33190 35120 39510 39828 42144 49785 52680 53104 59742 63216 66380 70240 79020 79656 99570 105360 106208 119484 126432 132760 149355 158040 159312 199140 210720 238968 265520 298710 316080 318624 398280 477936 531040 597420 632160 796560 955872 1194840 1457041 1593120 2389680 2914082 4371123 4779360 5828164 7285205 8742246 11656328 13113369 14570410 17484492 21855615 23312656 26226738 29140820 34968984 43711230 46625312 52453476 58281640 65566845 69937968 87422460 104906952 116563280 131133690 139875936 174844920 209813904 233126560 262267380 349689840 419627808 524534760 699379680 1049069520 2098139040