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5660079408 = 2432295872309
BaseRepresentation
bin1010100010101110…
…11111010100110000
3112121110102211021200
411101113133110300
543042440020113
62333351051200
7260155611144
oct52127372460
915543384250
105660079408
112444a70485
12111b670b00
136c2831619
143b9a07224
15231d90873
hex1515df530

5660079408 has 120 divisors (see below), whose sum is σ = 16421605200. Its totient is φ = 1817743872.

The previous prime is 5660079389. The next prime is 5660079409. The reversal of 5660079408 is 8049700665.

It is not an unprimeable number, because it can be changed into a prime (5660079409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2450158 + ... + 2452466.

It is an arithmetic number, because the mean of its divisors is an integer number (136846710).

Almost surely, 25660079408 is an apocalyptic number.

5660079408 is a gapful number since it is divisible by the number (58) 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 5660079408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210802600).

5660079408 is an abundant number, since it is smaller than the sum of its proper divisors (10761525792).

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

5660079408 is a wasteful number, since it uses less digits than its factorization.

5660079408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5660079408 is about 75233.4992406973. The cubic root of 5660079408 is about 1782.1359923726.

The spelling of 5660079408 in words is "five billion, six hundred sixty million, seventy-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 587 696 1044 1174 1392 1761 2088 2309 2348 3522 4176 4618 4696 5283 6927 7044 9236 9392 10566 13854 14088 17023 18472 20781 21132 27708 28176 34046 36944 41562 42264 51069 55416 66961 68092 83124 84528 102138 110832 133922 136184 153207 166248 200883 204276 267844 272368 306414 332496 401766 408552 535688 602649 612828 803532 817104 1071376 1205298 1225656 1355383 1607064 2410596 2451312 2710766 3214128 4066149 4821192 5421532 8132298 9642384 10843064 12198447 16264596 21686128 24396894 32529192 39306107 48793788 65058384 78612214 97587576 117918321 157224428 195175152 235836642 314448856 353754963 471673284 628897712 707509926 943346568 1415019852 1886693136 2830039704 5660079408