Search a number
-
+
1042306672 = 241167157563
BaseRepresentation
bin111110001000000…
…101011001110000
32200122021122221211
4332020011121300
54113312303142
6251232125504
734554313651
oct7610053160
92618248854
101042306672
1149539a480
12251096894
13137c30914
149c601528
156178b917
hex3e205670

1042306672 has 80 divisors (see below), whose sum is σ = 2254177152. Its totient is φ = 462908160.

The previous prime is 1042306631. The next prime is 1042306711. The reversal of 1042306672 is 2766032401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1851063 + ... + 1851625.

Almost surely, 21042306672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042306672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127088576).

1042306672 is an abundant number, since it is smaller than the sum of its proper divisors (1211870480).

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

1042306672 is a wasteful number, since it uses less digits than its factorization.

1042306672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 1042306672 is about 32284.7746159083. The cubic root of 1042306672 is about 1013.9078976499.

The spelling of 1042306672 in words is "one billion, forty-two million, three hundred six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 157 176 268 314 536 563 628 737 1072 1126 1256 1474 1727 2252 2512 2948 3454 4504 5896 6193 6908 9008 10519 11792 12386 13816 21038 24772 27632 37721 42076 49544 75442 84152 88391 99088 115709 150884 168304 176782 231418 301768 353564 414931 462836 603536 707128 829862 925672 972301 1414256 1659724 1851344 1944602 3319448 3889204 5922197 6638896 7778408 11844394 15556816 23688788 47377576 65144167 94755152 130288334 260576668 521153336 1042306672