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5660889600 = 29352147419
BaseRepresentation
bin1010100010110101…
…00101001000000000
3112121111221222122210
411101122211020000
543043141431400
62333420302120
7260165524212
oct52132451000
915544858583
105660889600
112445474163
12111b9a1940
136c2a56322
143b9b785b2
15231ea0950
hex1516a5200

5660889600 has 120 divisors (see below), whose sum is σ = 18700521840. Its totient is φ = 1509560320.

The previous prime is 5660889593. The next prime is 5660889613. The reversal of 5660889600 is 69880665.

It is a tau number, because it is divible by the number of its divisors (120).

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 5660889600.

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, 35310 + ... + 112109.

It is an arithmetic number, because the mean of its divisors is an integer number (155837682).

Almost surely, 25660889600 is an apocalyptic number.

5660889600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5660889600 is an abundant number, since it is smaller than the sum of its proper divisors (13039632240).

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

5660889600 is a wasteful number, since it uses less digits than its factorization.

5660889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147450 (or 147429 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 5660889600 is about 75238.8835642848. The cubic root of 5660889600 is about 1782.2210208285.

The spelling of 5660889600 in words is "five billion, six hundred sixty million, eight hundred eighty-nine thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1200 1280 1536 1600 1920 2400 2560 3200 3840 4800 6400 7680 9600 12800 19200 38400 147419 294838 442257 589676 737095 884514 1179352 1474190 1769028 2211285 2358704 2948380 3538056 3685475 4422570 4717408 5896760 7076112 7370950 8845140 9434816 11056425 11793520 14152224 14741900 17690280 18869632 22112850 23587040 28304448 29483800 35380560 37739264 44225700 47174080 56608896 58967600 70761120 75478528 88451400 94348160 113217792 117935200 141522240 176902800 188696320 226435584 235870400 283044480 353805600 377392640 471740800 566088960 707611200 943481600 1132177920 1415222400 1886963200 2830444800 5660889600