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5403842100 = 223452667141
BaseRepresentation
bin1010000100001100…
…00001011000110100
3111221121021121210000
411002012001120310
542031340421400
62252115031300
7250624620456
oct50206013064
914847247700
105403842100
112323367608
12106989b530
13681716c07
143939862d6
15219628600
hex142181634

5403842100 has 90 divisors (see below), whose sum is σ = 17517147494. Its totient is φ = 1441022400.

The previous prime is 5403842089. The next prime is 5403842131. The reversal of 5403842100 is 12483045.

It can be written as a sum of positive squares in 3 ways, for example, as 1609774884 + 3794067216 = 40122^2 + 61596^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 325471 + ... + 341670.

Almost surely, 25403842100 is an apocalyptic number.

5403842100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5403842100 is an abundant number, since it is smaller than the sum of its proper divisors (12113305394).

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

5403842100 is a wasteful number, since it uses less digits than its factorization.

5403842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667167 (or 667151 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5403842100 is about 73510.8298143886. The cubic root of 5403842100 is about 1754.8266320087.

The spelling of 5403842100 in words is "five billion, four hundred three million, eight hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 667141 1334282 2001423 2668564 3335705 4002846 6004269 6671410 8005692 10007115 12008538 13342820 16678525 18012807 20014230 24017076 30021345 33357050 36025614 40028460 50035575 54038421 60042690 66714100 72051228 90064035 100071150 108076842 120085380 150106725 180128070 200142300 216153684 270192105 300213450 360256140 450320175 540384210 600426900 900640350 1080768420 1350960525 1801280700 2701921050 5403842100