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2083146680 = 235172315813
BaseRepresentation
bin111110000101010…
…0100101110111000
312101011210211000202
41330022210232320
513231241143210
6542413021332
7102423311636
oct17412445670
95334724022
102083146680
11979977a2a
124a1784848
13272769a94
1415a940356
15c2d389a5
hex7c2a4bb8

2083146680 has 96 divisors (see below), whose sum is σ = 5140506240. Its totient is φ = 758814720.

The previous prime is 2083146661. The next prime is 2083146691. The reversal of 2083146680 is 866413802.

It is a happy number.

It is a congruent number.

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, 355454 + ... + 361266.

It is an arithmetic number, because the mean of its divisors is an integer number (53546940).

Almost surely, 22083146680 is an apocalyptic number.

2083146680 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 2083146680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570253120).

2083146680 is an abundant number, since it is smaller than the sum of its proper divisors (3057359560).

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

2083146680 is a wasteful number, since it uses less digits than its factorization.

2083146680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 2083146680 is about 45641.5017281421. The cubic root of 2083146680 is about 1277.1442437274.

The spelling of 2083146680 in words is "two billion, eighty-three million, one hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 289 310 340 527 578 620 680 1054 1156 1240 1445 2108 2312 2635 2890 4216 5270 5780 5813 8959 10540 11560 11626 17918 21080 23252 29065 35836 44795 46504 58130 71672 89590 98821 116260 179180 180203 197642 232520 358360 360406 395284 494105 720812 790568 901015 988210 1441624 1679957 1802030 1976420 3063451 3359914 3604060 3952840 6126902 6719828 7208120 8399785 12253804 13439656 15317255 16799570 24507608 30634510 33599140 52078667 61269020 67198280 104157334 122538040 208314668 260393335 416629336 520786670 1041573340 2083146680