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1940111136 = 25332977431
BaseRepresentation
bin111001110100011…
…1011111100100000
312000012122212011000
41303220323330200
512433132024021
6520303152000
766035446455
oct16350737440
95005585130
101940111136
11906162237
124618a5600
1324bc38b72
1414594982c
15b54d2b26
hex73a3bf20

1940111136 has 96 divisors (see below), whose sum is σ = 5853859200. Its totient is φ = 624395520.

The previous prime is 1940111119. The next prime is 1940111137. The reversal of 1940111136 is 6311110491.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (1940111137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13660 + ... + 63771.

It is an arithmetic number, because the mean of its divisors is an integer number (60977700).

Almost surely, 21940111136 is an apocalyptic number.

1940111136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1940111136 is an abundant number, since it is smaller than the sum of its proper divisors (3913748064).

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

1940111136 is a wasteful number, since it uses less digits than its factorization.

1940111136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77479 (or 77465 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1940111136 is about 44046.6926794737. The cubic root of 1940111136 is about 1247.2175198525.

The spelling of 1940111136 in words is "one billion, nine hundred forty million, one hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 77431 154862 232293 309724 464586 619448 696879 929172 1238896 1393758 1858344 2090637 2245499 2477792 2787516 3716688 4181274 4490998 5575032 6736497 7433376 8362548 8981996 11150064 13472994 16725096 17963992 20209491 22300128 26945988 33450192 35927984 40418982 53891976 60628473 66900384 71855968 80837964 107783952 121256946 161675928 215567904 242513892 323351856 485027784 646703712 970055568 1940111136