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19990368 = 2533171361
BaseRepresentation
bin100110001000…
…0011101100000
31101121121122000
41030100131200
520104142433
61552244000
7331625646
oct114203540
941547560
1019990368
1110314072
126840600
1341abc28
142925196
151b4d113
hex1310760

19990368 has 96 divisors (see below), whose sum is σ = 61780320. Its totient is φ = 6266880.

The previous prime is 19990363. The next prime is 19990387. The reversal of 19990368 is 86309991.

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

It is a super-2 number, since 2×199903682 = 799229625550848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19990363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14008 + ... + 15368.

It is an arithmetic number, because the mean of its divisors is an integer number (643545).

Almost surely, 219990368 is an apocalyptic number.

19990368 is a gapful number since it is divisible by the number (18) 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 19990368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30890160).

19990368 is an abundant number, since it is smaller than the sum of its proper divisors (41789952).

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

19990368 is a wasteful number, since it uses less digits than its factorization.

19990368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 19990368 is about 4471.0589349728. The cubic root of 19990368 is about 271.3981792115.

The spelling of 19990368 in words is "nineteen million, nine hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1361 1632 1836 2448 2722 3672 4083 4896 5444 7344 8166 10888 12249 14688 16332 21776 23137 24498 32664 36747 43552 46274 48996 65328 69411 73494 92548 97992 130656 138822 146988 185096 195984 208233 277644 293976 370192 391968 416466 555288 587952 624699 740384 832932 1110576 1175904 1249398 1665864 2221152 2498796 3331728 4997592 6663456 9995184 19990368