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1143699920 = 245114131699
BaseRepresentation
bin100010000101011…
…0111100111010000
32221201001222100022
41010022313213100
54320241344140
6305253243012
740225201046
oct10412674720
92851058308
101143699920
11537652750
1227b033468
13152c4161c
14abc76396
156a6190b5
hex442b79d0

1143699920 has 80 divisors (see below), whose sum is σ = 2971684800. Its totient is φ = 405734400.

The previous prime is 1143699917. The next prime is 1143699989. The reversal of 1143699920 is 299963411.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20231 + ... + 51929.

It is an arithmetic number, because the mean of its divisors is an integer number (37146060).

Almost surely, 21143699920 is an apocalyptic number.

1143699920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143699920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485842400).

1143699920 is an abundant number, since it is smaller than the sum of its proper divisors (1827984880).

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

1143699920 is a wasteful number, since it uses less digits than its factorization.

1143699920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31764 (or 31758 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 1143699920 is about 33818.6327340417. The cubic root of 1143699920 is about 1045.7728522701.

The spelling of 1143699920 in words is "one billion, one hundred forty-three million, six hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 31699 36080 63398 126796 158495 253592 316990 348689 507184 633980 697378 1267960 1299659 1394756 1743445 2535920 2599318 2789512 3486890 5198636 5579024 6498295 6973780 10397272 12996590 13947560 14296249 20794544 25993180 27895120 28592498 51986360 57184996 71481245 103972720 114369992 142962490 228739984 285924980 571849960 1143699920