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3127697920 = 2951964303
BaseRepresentation
bin1011101001101100…
…1110001000000000
322001222022111221201
42322123032020000
522401142313140
61234205230544
7140335664554
oct27233161000
98058274851
103127697920
11136555a816
12733562454
133aaca5239
14219567864
151348ba49a
hexba6ce200

3127697920 has 80 divisors (see below), whose sum is σ = 7893959040. Its totient is φ = 1185214464.

The previous prime is 3127697891. The next prime is 3127697971. The reversal of 3127697920 is 297967213.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 16489 + ... + 80791.

It is an arithmetic number, because the mean of its divisors is an integer number (98674488).

Almost surely, 23127697920 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 3127697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946979520).

3127697920 is an abundant number, since it is smaller than the sum of its proper divisors (4766261120).

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

3127697920 is an equidigital number, since it uses as much as digits as its factorization.

3127697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64345 (or 64329 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 3127697920 is about 55925.8251615477. The cubic root of 3127697920 is about 1462.4294822696.

The spelling of 3127697920 in words is "three billion, one hundred twenty-seven million, six hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1216 1280 1520 2432 2560 3040 4864 6080 9728 12160 24320 48640 64303 128606 257212 321515 514424 643030 1028848 1221757 1286060 2057696 2443514 2572120 4115392 4887028 5144240 6108785 8230784 9774056 10288480 12217570 16461568 19548112 20576960 24435140 32923136 39096224 41153920 48870280 78192448 82307840 97740560 156384896 164615680 195481120 312769792 390962240 625539584 781924480 1563848960 3127697920