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19770048 = 263317673
BaseRepresentation
bin100101101101…
…0101011000000
31101012102102000
41023122223000
520030120143
61543424000
7330020424
oct113325300
941172360
1019770048
1110183591
126755000
13413286c
1428a8b84
151b07bd3
hex12daac0

19770048 has 112 divisors (see below), whose sum is σ = 61630560. Its totient is φ = 6193152.

The previous prime is 19770029. The next prime is 19770061. The reversal of 19770048 is 84007791.

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

It is a junction number, because it is equal to n+sod(n) for n = 19769994 and 19770021.

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 15 ways as a sum of consecutive naturals, for example, 29040 + ... + 29712.

Almost surely, 219770048 is an apocalyptic number.

19770048 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 19770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30815280).

19770048 is an abundant number, since it is smaller than the sum of its proper divisors (41860512).

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

19770048 is a wasteful number, since it uses less digits than its factorization.

19770048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 19770048 is about 4446.3522127695. The cubic root of 19770048 is about 270.3974393745.

The spelling of 19770048 in words is "nineteen million, seven hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 673 816 864 918 1088 1224 1346 1632 1728 1836 2019 2448 2692 3264 3672 4038 4896 5384 6057 7344 8076 9792 10768 11441 12114 14688 16152 18171 21536 22882 24228 29376 32304 34323 36342 43072 45764 48456 64608 68646 72684 91528 96912 102969 129216 137292 145368 183056 193824 205938 274584 290736 308907 366112 387648 411876 549168 581472 617814 732224 823752 1098336 1162944 1235628 1647504 2196672 2471256 3295008 4942512 6590016 9885024 19770048