Search a number
-
+
1076931940 = 225731248141
BaseRepresentation
bin100000000110000…
…1010110101100100
32210001102210220011
41000030022311210
54201143310230
6254510220004
735454525160
oct10014126544
92701383804
101076931940
115029999a7
122607b4604
13142164c46
14a3055ca0
156482ae2a
hex4030ad64

1076931940 has 48 divisors (see below), whose sum is σ = 2668022784. Its totient is φ = 357321600.

The previous prime is 1076931931. The next prime is 1076931943. The reversal of 1076931940 is 491396701.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1076931893 and 1076931902.

It is not an unprimeable number, because it can be changed into a prime (1076931943) 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 15 ways as a sum of consecutive naturals, for example, 119731 + ... + 128410.

It is an arithmetic number, because the mean of its divisors is an integer number (55583808).

Almost surely, 21076931940 is an apocalyptic number.

1076931940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076931940 is an abundant number, since it is smaller than the sum of its proper divisors (1591090844).

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

1076931940 is a wasteful number, since it uses less digits than its factorization.

1076931940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248188 (or 248186 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 1076931940 is about 32816.6412053397. The cubic root of 1076931940 is about 1025.0131079030.

The spelling of 1076931940 in words is "one billion, seventy-six million, nine hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 248141 496282 992564 1240705 1736987 2481410 3473974 4962820 6947948 7692371 8684935 15384742 17369870 30769484 34739740 38461855 53846597 76923710 107693194 153847420 215386388 269232985 538465970 1076931940