Search a number
-
+
940217680 = 24519935897
BaseRepresentation
bin111000000010101…
…001010101010000
32102112012000012001
4320002221111100
53411143431210
6233144043344
732204501263
oct7002512520
92375160161
10940217680
11442801506
12222a63554
1311ca3832c
148cc28cda
155782303a
hex380a9550

940217680 has 40 divisors (see below), whose sum is σ = 2187473832. Its totient is φ = 375834624.

The previous prime is 940217659. The next prime is 940217683. The reversal of 940217680 is 86712049.

It can be written as a sum of positive squares in 4 ways, for example, as 382124304 + 558093376 = 19548^2 + 23624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940217683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 156492 + ... + 162388.

Almost surely, 2940217680 is an apocalyptic number.

It is an amenable number.

940217680 is an abundant number, since it is smaller than the sum of its proper divisors (1247256152).

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

940217680 is a wasteful number, since it uses less digits than its factorization.

940217680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 940217680 is about 30662.9691973886. The cubic root of 940217680 is about 979.6617185901.

The spelling of 940217680 in words is "nine hundred forty million, two hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1993 3986 5897 7972 9965 11794 15944 19930 23588 29485 31888 39860 47176 58970 79720 94352 117940 159440 235880 471760 11752721 23505442 47010884 58763605 94021768 117527210 188043536 235054420 470108840 940217680