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2083691940 = 2235113157109
BaseRepresentation
bin111110000110010…
…1001110110100100
312101012211111222120
41330030221312210
513231411120230
6542432425540
7102431042421
oct17414516644
95335744876
102083691940
1197a20a660
124a19a82b0
132728cb015
1415aa42d48
15c2de5310
hex7c329da4

2083691940 has 48 divisors (see below), whose sum is σ = 6364733760. Its totient is φ = 505137280.

The previous prime is 2083691933. The next prime is 2083691947. The reversal of 2083691940 is 491963802.

2083691940 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2083691933) and next prime (2083691947).

It is a junction number, because it is equal to n+sod(n) for n = 2083691892 and 2083691901.

It is not an unprimeable number, because it can be changed into a prime (2083691947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1577895 + ... + 1579214.

It is an arithmetic number, because the mean of its divisors is an integer number (132598620).

Almost surely, 22083691940 is an apocalyptic number.

2083691940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2083691940 is an abundant number, since it is smaller than the sum of its proper divisors (4281041820).

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

2083691940 is a wasteful number, since it uses less digits than its factorization.

2083691940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157132 (or 3157130 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2083691940 is about 45647.4746289431. The cubic root of 2083691940 is about 1277.2556640973.

The spelling of 2083691940 in words is "two billion, eighty-three million, six hundred ninety-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3157109 6314218 9471327 12628436 15785545 18942654 31571090 34728199 37885308 47356635 63142180 69456398 94713270 104184597 138912796 173640995 189426540 208369194 347281990 416738388 520922985 694563980 1041845970 2083691940