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14929500 = 2235337269
BaseRepresentation
bin111000111100…
…111001011100
31001002111102110
4320330321130
512310221000
61251554020
7240620145
oct70747134
931074373
1014929500
118477833
124bbb910
133129531
141da8acc
15149d850
hexe3ce5c

14929500 has 96 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 3859200.

The previous prime is 14929489. The next prime is 14929511. The reversal of 14929500 is 592941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14929489) and next prime (14929511).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55366 + ... + 55634.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 214929500 is an apocalyptic number.

14929500 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 14929500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

14929500 is an abundant number, since it is smaller than the sum of its proper divisors (29886180).

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

14929500 is a wasteful number, since it uses less digits than its factorization.

14929500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 14929500 is about 3863.8711158630. The cubic root of 14929500 is about 246.2342273045.

The spelling of 14929500 in words is "fourteen million, nine hundred twenty-nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 125 148 150 185 222 250 269 300 370 375 444 500 538 555 740 750 807 925 1076 1110 1345 1500 1614 1850 2220 2690 2775 3228 3700 4035 4625 5380 5550 6725 8070 9250 9953 11100 13450 13875 16140 18500 19906 20175 26900 27750 29859 33625 39812 40350 49765 55500 59718 67250 80700 99530 100875 119436 134500 149295 199060 201750 248825 298590 403500 497650 597180 746475 995300 1244125 1492950 2488250 2985900 3732375 4976500 7464750 14929500