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14966790 = 23523109199
BaseRepresentation
bin111001000110…
…000000000110
31001011101120120
4321012000012
512312414130
61252442410
7241133646
oct71060006
931141516
1014966790
1184a2853
125019406
1331404b7
141db8526
1514a9910
hexe46006

14966790 has 64 divisors (see below), whose sum is σ = 38016000. Its totient is φ = 3763584.

The previous prime is 14966789. The next prime is 14966797. The reversal of 14966790 is 9766941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14966797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75111 + ... + 75309.

It is an arithmetic number, because the mean of its divisors is an integer number (594000).

Almost surely, 214966790 is an apocalyptic number.

14966790 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 14966790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008000).

14966790 is an abundant number, since it is smaller than the sum of its proper divisors (23049210).

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

14966790 is a wasteful number, since it uses less digits than its factorization.

14966790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 14966790 is about 3868.6935779407. The cubic root of 14966790 is about 246.4390664957.

The spelling of 14966790 in words is "fourteen million, nine hundred sixty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 109 115 138 199 218 230 327 345 398 545 597 654 690 995 1090 1194 1635 1990 2507 2985 3270 4577 5014 5970 7521 9154 12535 13731 15042 21691 22885 25070 27462 37605 43382 45770 65073 68655 75210 108455 130146 137310 216910 325365 498893 650730 997786 1496679 2494465 2993358 4988930 7483395 14966790