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10942992 = 243373347
BaseRepresentation
bin101001101111…
…101000010000
3202120221222000
4221233220100
510300133432
61030314000
7162004524
oct51575020
922527860
1010942992
1161a46a5
1237b8900
132361b58
14164bd84
15e6257c
hexa6fa10

10942992 has 80 divisors (see below), whose sum is σ = 31932480. Its totient is φ = 3587328.

The previous prime is 10942979. The next prime is 10942999. The reversal of 10942992 is 29924901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10942999) 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, 31363 + ... + 31709.

It is an arithmetic number, because the mean of its divisors is an integer number (399156).

Almost surely, 210942992 is an apocalyptic number.

10942992 is a gapful number since it is divisible by the number (12) 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 10942992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966240).

10942992 is an abundant number, since it is smaller than the sum of its proper divisors (20989488).

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

10942992 is a wasteful number, since it uses less digits than its factorization.

10942992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10942992 is about 3308.0193469809. The cubic root of 10942992 is about 222.0131475048.

The spelling of 10942992 in words is "ten million, nine hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 347 432 438 584 657 694 876 1041 1168 1314 1388 1752 1971 2082 2628 2776 3123 3504 3942 4164 5256 5552 6246 7884 8328 9369 10512 12492 15768 16656 18738 24984 25331 31536 37476 49968 50662 74952 75993 101324 149904 151986 202648 227979 303972 405296 455958 607944 683937 911916 1215888 1367874 1823832 2735748 3647664 5471496 10942992