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1992144 = 24373112
BaseRepresentation
bin111100110010111010000
310202012201010
413212113100
51002222034
6110410520
722635000
oct7462720
93665633
101992144
111140800
12800a40
135499ab
1439c000
152953e9
hex1e65d0

1992144 has 120 divisors (see below), whose sum is σ = 6596800. Its totient is φ = 517440.

The previous prime is 1992139. The next prime is 1992163. The reversal of 1992144 is 4412991.

Its product of digits (2592) is a multiple of the sum of its prime factors (54).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 181099 + ... + 181109.

21992144 is an apocalyptic number.

1992144 is a gapful number since it is divisible by the number (14) 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 1992144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298400).

1992144 is an abundant number, since it is smaller than the sum of its proper divisors (4604656).

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

1992144 is a wasteful number, since it uses less digits than its factorization.

1992144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 23 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 1992144 is about 1411.4333140464. The cubic root of 1992144 is about 125.8269228591.

The spelling of 1992144 in words is "one million, nine hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 121 132 147 154 168 176 196 231 242 264 294 308 336 343 363 392 462 484 528 539 588 616 686 726 784 847 924 968 1029 1078 1176 1232 1372 1452 1617 1694 1848 1936 2058 2156 2352 2541 2744 2904 3234 3388 3696 3773 4116 4312 5082 5488 5808 5929 6468 6776 7546 8232 8624 10164 11319 11858 12936 13552 15092 16464 17787 20328 22638 23716 25872 30184 35574 40656 41503 45276 47432 60368 71148 83006 90552 94864 124509 142296 166012 181104 249018 284592 332024 498036 664048 996072 1992144