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14064640 = 21054167
BaseRepresentation
bin110101101001…
…110000000000
3222110120001121
4311221300000
512100032030
61221242024
7230355532
oct65516000
928416047
1014064640
117a36a77
124863314
132bb5995
141c21852
15137c47a
hexd69c00

14064640 has 88 divisors (see below), whose sum is σ = 35077392. Its totient is φ = 5406720.

The previous prime is 14064619. The next prime is 14064641. The reversal of 14064640 is 4646041.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14064641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209887 + ... + 209953.

Almost surely, 214064640 is an apocalyptic number.

14064640 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 14064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17538696).

14064640 is an abundant number, since it is smaller than the sum of its proper divisors (21012752).

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

14064640 is an equidigital number, since it uses as much as digits as its factorization.

14064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 14064640 is about 3750.2853224788. The cubic root of 14064640 is about 241.3845893661.

The spelling of 14064640 in words is "fourteen million, sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 67 80 82 128 134 160 164 205 256 268 320 328 335 410 512 536 640 656 670 820 1024 1072 1280 1312 1340 1640 2144 2560 2624 2680 2747 3280 4288 5120 5248 5360 5494 6560 8576 10496 10720 10988 13120 13735 17152 20992 21440 21976 26240 27470 34304 41984 42880 43952 52480 54940 68608 85760 87904 104960 109880 171520 175808 209920 219760 343040 351616 439520 703232 879040 1406464 1758080 2812928 3516160 7032320 14064640