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2138596440 = 233519193307
BaseRepresentation
bin111111101111000…
…0110010001011000
312112001010221210120
41333132012101120
513334440041230
6552113313240
7103665525021
oct17736062130
95461127716
102138596440
119a8200182
124b8265820
132810b28a6
14164055c48
15c7b3d310
hex7f786458

2138596440 has 64 divisors (see below), whose sum is σ = 6449448960. Its totient is φ = 567300480.

The previous prime is 2138596409. The next prime is 2138596451. The reversal of 2138596440 is 446958312.

It is a junction number, because it is equal to n+sod(n) for n = 2138596392 and 2138596401.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23734 + ... + 69573.

It is an arithmetic number, because the mean of its divisors is an integer number (100772640).

Almost surely, 22138596440 is an apocalyptic number.

2138596440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138596440 is an abundant number, since it is smaller than the sum of its proper divisors (4310852520).

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

2138596440 is a wasteful number, since it uses less digits than its factorization.

2138596440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93512 (or 93508 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2138596440 is about 46244.9612390366. The cubic root of 2138596440 is about 1288.3769504183.

The spelling of 2138596440 in words is "two billion, one hundred thirty-eight million, five hundred ninety-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 22920 93307 186614 279921 373228 466535 559842 746456 933070 1119684 1399605 1866140 2239368 2799210 3732280 5598420 11196840 17821637 35643274 53464911 71286548 89108185 106929822 142573096 178216370 213859644 267324555 356432740 427719288 534649110 712865480 1069298220 2138596440