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18988440 = 2335792003
BaseRepresentation
bin100100001101…
…1110110011000
31022201201020120
41020123312120
514330112230
61514553240
7320253612
oct110336630
938651216
1018988440
11a79a329
126438820
133c1ab83
142743db2
151a01310
hex121bd98

18988440 has 64 divisors (see below), whose sum is σ = 57715200. Its totient is φ = 4996992.

The previous prime is 18988421. The next prime is 18988471. The reversal of 18988440 is 4488981.

It is a junction number, because it is equal to n+sod(n) for n = 18988392 and 18988401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8479 + ... + 10481.

It is an arithmetic number, because the mean of its divisors is an integer number (901800).

Almost surely, 218988440 is an apocalyptic number.

18988440 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 18988440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28857600).

18988440 is an abundant number, since it is smaller than the sum of its proper divisors (38726760).

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

18988440 is a wasteful number, since it uses less digits than its factorization.

18988440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 18988440 is about 4357.5727188425. The cubic root of 18988440 is about 266.7860368352.

The spelling of 18988440 in words is "eighteen million, nine hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2003 2370 3160 4006 4740 6009 8012 9480 10015 12018 16024 20030 24036 30045 40060 48072 60090 80120 120180 158237 240360 316474 474711 632948 791185 949422 1265896 1582370 1898844 2373555 3164740 3797688 4747110 6329480 9494220 18988440