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2693896320 = 27351403071
BaseRepresentation
bin1010000010010001…
…1001100010000000
320221202001010000210
42200210121202000
521004114140240
61123151314120
7123520512063
oct24044314200
96852033023
102693896320
1111626a81a5
1263221b940
1333c15a4bb
141b7ac48da
1510b77b780
hexa0919880

2693896320 has 64 divisors (see below), whose sum is σ = 8586800640. Its totient is φ = 718371840.

The previous prime is 2693896277. The next prime is 2693896327. The reversal of 2693896320 is 236983962.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2693896320.

It is not an unprimeable number, because it can be changed into a prime (2693896327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699616 + ... + 703455.

It is an arithmetic number, because the mean of its divisors is an integer number (134168760).

Almost surely, 22693896320 is an apocalyptic number.

2693896320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2693896320 is an abundant number, since it is smaller than the sum of its proper divisors (5892904320).

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

2693896320 is a wasteful number, since it uses less digits than its factorization.

2693896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403093 (or 1403081 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 2693896320 is about 51902.7583082055. The cubic root of 2693896320 is about 1391.4265705218.

The spelling of 2693896320 in words is "two billion, six hundred ninety-three million, eight hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1403071 2806142 4209213 5612284 7015355 8418426 11224568 14030710 16836852 21046065 22449136 28061420 33673704 42092130 44898272 56122840 67347408 84184260 89796544 112245680 134694816 168368520 179593088 224491360 269389632 336737040 448982720 538779264 673474080 897965440 1346948160 2693896320