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18159440 = 2451319919
BaseRepresentation
bin100010101000…
…1011101010000
31021011121001212
41011101131100
514122100230
61445115252
7310231655
oct105213520
937147055
1018159440
11a283502
1260b8b28
1339ba740
1425a9c2c
1518da895
hex1151750

18159440 has 80 divisors (see below), whose sum is σ = 47913600. Its totient is φ = 6345216.

The previous prime is 18159431. The next prime is 18159461. The reversal of 18159440 is 4495181.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×181594402 = 659530522227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18159397 and 18159406.

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, 19301 + ... + 20219.

It is an arithmetic number, because the mean of its divisors is an integer number (598920).

Almost surely, 218159440 is an apocalyptic number.

18159440 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 18159440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23956800).

18159440 is an abundant number, since it is smaller than the sum of its proper divisors (29754160).

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

18159440 is a wasteful number, since it uses less digits than its factorization.

18159440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 18159440 is about 4261.3894447703. The cubic root of 18159440 is about 262.8456640500.

The spelling of 18159440 in words is "eighteen million, one hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 919 988 1040 1235 1520 1838 1976 2470 3676 3952 4595 4940 7352 9190 9880 11947 14704 17461 18380 19760 23894 34922 36760 47788 59735 69844 73520 87305 95576 119470 139688 174610 191152 226993 238940 279376 349220 453986 477880 698440 907972 955760 1134965 1396880 1815944 2269930 3631888 4539860 9079720 18159440