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18980700 = 22352151419
BaseRepresentation
bin100100001100…
…1111101011100
31022201022121220
41020121331130
514324340300
61514453340
7320222214
oct110317534
938638556
1018980700
11a794532
126434250
133c174ab
142741244
1519edda0
hex1219f5c

18980700 has 72 divisors (see below), whose sum is σ = 55413120. Its totient is φ = 5016000.

The previous prime is 18980693. The next prime is 18980729. The reversal of 18980700 is 708981.

18980700 = T424 + T425 + ... + T574.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45091 + ... + 45509.

Almost surely, 218980700 is an apocalyptic number.

18980700 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 18980700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27706560).

18980700 is an abundant number, since it is smaller than the sum of its proper divisors (36432420).

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

18980700 is a wasteful number, since it uses less digits than its factorization.

18980700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 18980700 is about 4356.6845192187. The cubic root of 18980700 is about 266.7497831188.

The spelling of 18980700 in words is "eighteen million, nine hundred eighty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 419 453 604 755 838 906 1257 1510 1676 1812 2095 2265 2514 3020 3775 4190 4530 5028 6285 7550 8380 9060 10475 11325 12570 15100 20950 22650 25140 31425 41900 45300 62850 63269 125700 126538 189807 253076 316345 379614 632690 759228 949035 1265380 1581725 1898070 3163450 3796140 4745175 6326900 9490350 18980700