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18290640 = 2435174483
BaseRepresentation
bin100010111000…
…1011111010000
31021102021001010
41011301133100
514140300030
61452010520
7311316324
oct105613720
937367033
1018290640
11a363035
126160a40
133a35384
142601984
1519146b0
hex11717d0

18290640 has 80 divisors (see below), whose sum is σ = 60049728. Its totient is φ = 4589568.

The previous prime is 18290639. The next prime is 18290647. The reversal of 18290640 is 4609281.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18290598 and 18290607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18290647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1839 + ... + 6321.

Almost surely, 218290640 is an apocalyptic number.

18290640 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 18290640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30024864).

18290640 is an abundant number, since it is smaller than the sum of its proper divisors (41759088).

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

18290640 is a wasteful number, since it uses less digits than its factorization.

18290640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 18290640 is about 4276.7557797938. The cubic root of 18290640 is about 263.4771562086.

The spelling of 18290640 in words is "eighteen million, two hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 4483 8966 13449 17932 22415 26898 35864 44830 53796 67245 71728 76211 89660 107592 134490 152422 179320 215184 228633 268980 304844 358640 381055 457266 537960 609688 762110 914532 1075920 1143165 1219376 1524220 1829064 2286330 3048440 3658128 4572660 6096880 9145320 18290640