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14007690 = 23252367101
BaseRepresentation
bin110101011011…
…110110001010
3222100122221100
4311123312022
512041221230
61220122230
7230030514
oct65336612
928318840
1014007690
1179a8204
124836376
132b95a98
141c08bb4
15136a660
hexd5bd8a

14007690 has 96 divisors (see below), whose sum is σ = 38952576. Its totient is φ = 3484800.

The previous prime is 14007683. The next prime is 14007703. The reversal of 14007690 is 9670041.

It is a super-2 number, since 2×140076902 = 392430758272200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138640 + ... + 138740.

It is an arithmetic number, because the mean of its divisors is an integer number (405756).

Almost surely, 214007690 is an apocalyptic number.

14007690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14007690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476288).

14007690 is an abundant number, since it is smaller than the sum of its proper divisors (24944886).

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

14007690 is a wasteful number, since it uses less digits than its factorization.

14007690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14007690 is about 3742.6848651737. The cubic root of 14007690 is about 241.0583468974.

The spelling of 14007690 in words is "fourteen million, seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 67 69 90 101 115 134 138 201 202 207 230 303 335 345 402 414 505 603 606 670 690 909 1005 1010 1035 1206 1515 1541 1818 2010 2070 2323 3015 3030 3082 4545 4623 4646 6030 6767 6969 7705 9090 9246 11615 13534 13869 13938 15410 20301 20907 23115 23230 27738 33835 34845 40602 41814 46230 60903 67670 69345 69690 101505 104535 121806 138690 155641 203010 209070 304515 311282 466923 609030 778205 933846 1400769 1556410 2334615 2801538 4669230 7003845 14007690