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5676101400 = 2335220034723
BaseRepresentation
bin1010100100101001…
…00110111100011000
3112122120120211022210
411102110212330120
543111040221100
62335122315120
7260442031404
oct52224467430
915576524283
105676101400
112453013aa2
121124ab8aa0
136c5c511a8
143bbbb8104
152334a7c50
hex152526f18

5676101400 has 96 divisors (see below), whose sum is σ = 17608426560. Its totient is φ = 1512551040.

The previous prime is 5676101383. The next prime is 5676101407. The reversal of 5676101400 is 41016765.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5676101407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199439 + ... + 1204161.

It is an arithmetic number, because the mean of its divisors is an integer number (183421110).

Almost surely, 25676101400 is an apocalyptic number.

5676101400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5676101400 is an abundant number, since it is smaller than the sum of its proper divisors (11932325160).

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

5676101400 is a wasteful number, since it uses less digits than its factorization.

5676101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6745 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5676101400 is about 75339.9057604932. The cubic root of 5676101400 is about 1783.8159728599.

The spelling of 5676101400 in words is "five billion, six hundred seventy-six million, one hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2003 4006 4723 6009 8012 9446 10015 12018 14169 16024 18892 20030 23615 24036 28338 30045 37784 40060 47230 48072 50075 56676 60090 70845 80120 94460 100150 113352 118075 120180 141690 150225 188920 200300 236150 240360 283380 300450 354225 400600 472300 566760 600900 708450 944600 1201800 1416900 2833800 9460169 18920338 28380507 37840676 47300845 56761014 75681352 94601690 113522028 141902535 189203380 227044056 236504225 283805070 378406760 473008450 567610140 709512675 946016900 1135220280 1419025350 1892033800 2838050700 5676101400