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16919424 = 273219773
BaseRepresentation
bin100000010001…
…0101110000000
31011211121002100
41000202232000
513312410144
61402350400
7263545524
oct100425600
934747070
1016919424
1196068a5
1257bb400
1336751c2
142365d84
151743269
hex1022b80

16919424 has 96 divisors (see below), whose sum is σ = 51316200. Its totient is φ = 5336064.

The previous prime is 16919423. The next prime is 16919447. The reversal of 16919424 is 42491961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16919423) 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 11 ways as a sum of consecutive naturals, for example, 21502 + ... + 22274.

Almost surely, 216919424 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 16919424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25658100).

16919424 is an abundant number, since it is smaller than the sum of its proper divisors (34396776).

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

16919424 is a wasteful number, since it uses less digits than its factorization.

16919424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 797 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16919424 is about 4113.3227444488. The cubic root of 16919424 is about 256.7212732150.

The spelling of 16919424 in words is "sixteen million, nine hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 773 912 1152 1216 1368 1546 1824 2319 2432 2736 3092 3648 4638 5472 6184 6957 7296 9276 10944 12368 13914 14687 18552 21888 24736 27828 29374 37104 44061 49472 55656 58748 74208 88122 98944 111312 117496 132183 148416 176244 222624 234992 264366 296832 352488 445248 469984 528732 704976 890496 939968 1057464 1409952 1879936 2114928 2819904 4229856 5639808 8459712 16919424