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1230074496 = 27327152539
BaseRepresentation
bin100100101010001…
…0111001010000000
310011201121020222200
41021110113022000
510004344340441
6322020433200
742324314010
oct11124271200
93151536880
101230074496
115813881a2
122a3b48800
13167ac4341
14b951bc40
1572ecb7b6
hex49517280

1230074496 has 96 divisors (see below), whose sum is σ = 4045360800. Its totient is φ = 351447552.

The previous prime is 1230074479. The next prime is 1230074561. The reversal of 1230074496 is 6944700321.

It is a tau number, because it is divible by the number of its divisors (96).

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 1230074496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68206 + ... + 84333.

It is an arithmetic number, because the mean of its divisors is an integer number (42139175).

Almost surely, 21230074496 is an apocalyptic number.

1230074496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1230074496 is an abundant number, since it is smaller than the sum of its proper divisors (2815286304).

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

1230074496 is a wasteful number, since it uses less digits than its factorization.

1230074496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152566 (or 152551 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1230074496 is about 35072.4178807222. The cubic root of 1230074496 is about 1071.4629001725.

The spelling of 1230074496 in words is "one billion, two hundred thirty million, seventy-four thousand, four 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 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 152539 305078 457617 610156 915234 1067773 1220312 1372851 1830468 2135546 2440624 2745702 3203319 3660936 4271092 4881248 5491404 6406638 7321872 8542184 9609957 9762496 10982808 12813276 14643744 17084368 19219914 19524992 21965616 25626552 29287488 34168736 38439828 43931232 51253104 58574976 68337472 76879656 87862464 102506208 136674944 153759312 175724928 205012416 307518624 410024832 615037248 1230074496