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5690315136 = 273116532063
BaseRepresentation
bin1010100110010101…
…10101000110000000
3112200120022221220110
411103022311012000
543123210041021
62340351111320
7261003611022
oct52312650600
915616287813
105690315136
112460041a90
121129812540
136c8b8999c
143bda38012
15234864476
hex1532b5180

5690315136 has 128 divisors (see below), whose sum is σ = 16522237440. Its totient is φ = 1720862720.

The previous prime is 5690315129. The next prime is 5690315221. The reversal of 5690315136 is 6315130965.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5690315094 and 5690315103.

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 15 ways as a sum of consecutive naturals, for example, 2757241 + ... + 2759303.

It is an arithmetic number, because the mean of its divisors is an integer number (129079980).

Almost surely, 25690315136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5690315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261118720).

5690315136 is an abundant number, since it is smaller than the sum of its proper divisors (10831922304).

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

5690315136 is a wasteful number, since it uses less digits than its factorization.

5690315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 5690315136 is about 75434.1775059555. The cubic root of 5690315136 is about 1785.3037049638.

The spelling of 5690315136 in words is "five billion, six hundred ninety million, three hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 653 704 1056 1306 1408 1959 2063 2112 2612 3918 4126 4224 5224 6189 7183 7836 8252 10448 12378 14366 15672 16504 20896 21549 22693 24756 28732 31344 33008 41792 43098 45386 49512 57464 62688 66016 68079 83584 86196 90772 99024 114928 125376 132032 136158 172392 181544 198048 229856 250752 264064 272316 344784 363088 396096 459712 544632 689568 726176 792192 919424 1089264 1347139 1379136 1452352 2178528 2694278 2758272 2904704 4041417 4357056 5388556 8082834 8714112 10777112 14818529 16165668 21554224 29637058 32331336 43108448 44455587 59274116 64662672 86216896 88911174 118548232 129325344 172433792 177822348 237096464 258650688 355644696 474192928 517301376 711289392 948385856 1422578784 1896771712 2845157568 5690315136