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19777140 = 22325109873
BaseRepresentation
bin100101101110…
…0011001110100
31101012210010200
41023130121310
520030332030
61543520500
7330050205
oct113343164
941183120
1019777140
1110188949
126759130
134135b66
1428ab5ac
151b09d60
hex12dc674

19777140 has 36 divisors (see below), whose sum is σ = 59991204. Its totient is φ = 5273856.

The previous prime is 19777139. The next prime is 19777141. The reversal of 19777140 is 4177791.

It is an interprime number because it is at equal distance from previous prime (19777139) and next prime (19777141).

It can be written as a sum of positive squares in 2 ways, for example, as 4613904 + 15163236 = 2148^2 + 3894^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×197771402 = 782270533159200, which contains 22 as substring.

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 = 19777095 and 19777104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19777141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54757 + ... + 55116.

Almost surely, 219777140 is an apocalyptic number.

19777140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19777140 is an abundant number, since it is smaller than the sum of its proper divisors (40214064).

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

19777140 is a wasteful number, since it uses less digits than its factorization.

19777140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109888 (or 109883 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 19777140 is about 4447.1496489324. The cubic root of 19777140 is about 270.4297682351.

The spelling of 19777140 in words is "nineteen million, seven hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 109873 219746 329619 439492 549365 659238 988857 1098730 1318476 1648095 1977714 2197460 3296190 3955428 4944285 6592380 9888570 19777140