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12734480 = 2451129499
BaseRepresentation
bin110000100101…
…000000010000
3212221222102102
4300211000100
511230000410
61132535532
7213145523
oct60450020
925858372
1012734480
117208670
1243215a8
13283b3c5
141996bba
1511b82a5
hexc25010

12734480 has 80 divisors (see below), whose sum is σ = 33480000. Its totient is φ = 4462080.

The previous prime is 12734471. The next prime is 12734537. The reversal of 12734480 is 8443721.

12734480 = T289 + T290 + ... + T464.

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 (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25271 + ... + 25769.

It is an arithmetic number, because the mean of its divisors is an integer number (418500).

Almost surely, 212734480 is an apocalyptic number.

12734480 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 12734480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740000).

12734480 is an abundant number, since it is smaller than the sum of its proper divisors (20745520).

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

12734480 is a wasteful number, since it uses less digits than its factorization.

12734480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 12734480 is about 3568.5403178330. The cubic root of 12734480 is about 233.5216076796.

The spelling of 12734480 in words is "twelve million, seven hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 499 580 638 880 998 1160 1276 1595 1996 2320 2495 2552 3190 3992 4990 5104 5489 6380 7984 9980 10978 12760 14471 19960 21956 25520 27445 28942 39920 43912 54890 57884 72355 87824 109780 115768 144710 159181 219560 231536 289420 318362 439120 578840 636724 795905 1157680 1273448 1591810 2546896 3183620 6367240 12734480