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16849920 = 210351097
BaseRepresentation
bin100000001000…
…1110000000000
31011201001202010
41000101300000
513303144140
61401052520
7263136063
oct100216000
934631663
1016849920
11956965a
125787140
13364c689
1423488da
15172c880
hex1011c00

16849920 has 88 divisors (see below), whose sum is σ = 53942544. Its totient is φ = 4489216.

The previous prime is 16849909. The next prime is 16849949. The reversal of 16849920 is 2994861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14812 + ... + 15908.

Almost surely, 216849920 is an apocalyptic number.

16849920 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 16849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26971272).

16849920 is an abundant number, since it is smaller than the sum of its proper divisors (37092624).

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

16849920 is a wasteful number, since it uses less digits than its factorization.

16849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 16849920 is about 4104.8654058324. The cubic root of 16849920 is about 256.3692587854.

It can be divided in two parts, 168 and 49920, that multiplied together give a triangular number (8386560 = T4095).

The spelling of 16849920 in words is "sixteen million, eight hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1097 1280 1536 1920 2194 2560 3072 3291 3840 4388 5120 5485 6582 7680 8776 10970 13164 15360 16455 17552 21940 26328 32910 35104 43880 52656 65820 70208 87760 105312 131640 140416 175520 210624 263280 280832 351040 421248 526560 561664 702080 842496 1053120 1123328 1404160 1684992 2106240 2808320 3369984 4212480 5616640 8424960 16849920