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1631103540 = 22351110124469
BaseRepresentation
bin110000100111000…
…1010101000110100
311012200012122102020
41201032022220310
511320030303130
6425504113140
755264102623
oct14116125064
94180178366
101631103540
11767796260
123963057b0
131ccc06131
141168ad6ba
15982e4e10
hex6138aa34

1631103540 has 96 divisors (see below), whose sum is σ = 5031815040. Its totient is φ = 391488000.

The previous prime is 1631103527. The next prime is 1631103569. The reversal of 1631103540 is 453011361.

It is a self number, because there is not a number n which added to its sum of digits gives 1631103540.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54426 + ... + 78894.

It is an arithmetic number, because the mean of its divisors is an integer number (52414740).

Almost surely, 21631103540 is an apocalyptic number.

1631103540 is a gapful number since it is divisible by the number (10) 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 1631103540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515907520).

1631103540 is an abundant number, since it is smaller than the sum of its proper divisors (3400711500).

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

1631103540 is a wasteful number, since it uses less digits than its factorization.

1631103540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24593 (or 24591 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1631103540 is about 40386.9228835275. The cubic root of 1631103540 is about 1177.1374499699.

The spelling of 1631103540 in words is "one billion, six hundred thirty-one million, one hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 24469 33330 48938 66660 73407 97876 122345 146814 244690 269159 293628 367035 489380 538318 734070 807477 1076636 1345795 1468140 1614954 2471369 2691590 3229908 4037385 4942738 5383180 7414107 8074770 9885476 12356845 14828214 16149540 24713690 27185059 29656428 37070535 49427380 54370118 74141070 81555177 108740236 135925295 148282140 163110354 271850590 326220708 407775885 543701180 815551770 1631103540