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1400073696 = 25327694481
BaseRepresentation
bin101001101110011…
…0110110111100000
310121120111010001100
41103130312313200
510331404324241
6350532234400
746460300340
oct12334666740
93546433040
101400073696
1165933a0aa
12330a6ba00
131940a6198
14d3d30d20
1582dab9b6
hex53736de0

1400073696 has 72 divisors (see below), whose sum is σ = 4550246064. Its totient is φ = 400020480.

The previous prime is 1400073683. The next prime is 1400073757. The reversal of 1400073696 is 6963700041.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×14000736963 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1400073696.

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 11 ways as a sum of consecutive naturals, for example, 345225 + ... + 349256.

It is an arithmetic number, because the mean of its divisors is an integer number (63197862).

Almost surely, 21400073696 is an apocalyptic number.

1400073696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1400073696 is an abundant number, since it is smaller than the sum of its proper divisors (3150172368).

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

1400073696 is a wasteful number, since it uses less digits than its factorization.

1400073696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694504 (or 694493 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1400073696 is about 37417.5586590039. The cubic root of 1400073696 is about 1118.7085709989.

The spelling of 1400073696 in words is "one billion, four hundred million, seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 694481 1388962 2083443 2777924 4166886 4861367 5555848 6250329 8333772 9722734 11111696 12500658 14584101 16667544 19445468 22223392 25001316 29168202 33335088 38890936 43752303 50002632 58336404 66670176 77781872 87504606 100005264 116672808 155563744 175009212 200010528 233345616 350018424 466691232 700036848 1400073696