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19023920 = 245376427
BaseRepresentation
bin100100010010…
…0100000110000
31022210111220122
41020210200300
514332231140
61515425412
7320462216
oct110444060
938714818
1019023920
11a813a53
126455268
133c31076
142752cb6
151a0bab5
hex1224830

19023920 has 40 divisors (see below), whose sum is σ = 45433104. Its totient is φ = 7402752.

The previous prime is 19023919. The next prime is 19023923. The reversal of 19023920 is 2932091.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19023920.

It is not an unprimeable number, because it can be changed into a prime (19023923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254 + ... + 6173.

Almost surely, 219023920 is an apocalyptic number.

19023920 is a gapful number since it is divisible by the number (10) 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 19023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22716552).

19023920 is an abundant number, since it is smaller than the sum of its proper divisors (26409184).

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

19023920 is a wasteful number, since it uses less digits than its factorization.

19023920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6471 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 19023920 is about 4361.6418926822. The cubic root of 19023920 is about 266.9520971542.

The spelling of 19023920 in words is "nineteen million, twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 6427 12854 25708 32135 51416 64270 102832 128540 237799 257080 475598 514160 951196 1188995 1902392 2377990 3804784 4755980 9511960 19023920