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12639240 = 233454783
BaseRepresentation
bin110000001101…
…110000001000
3212210010210000
4300031300020
511213423430
61130523000
7212301045
oct60156010
925703700
1012639240
117153059
124296460
132806c53
1419701cc
151199e60
hexc0dc08

12639240 has 160 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 3259008.

The previous prime is 12639239. The next prime is 12639247. The reversal of 12639240 is 4293621.

12639240 is a `hidden beast` number, since 1 + 2 + 639 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12639247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152239 + ... + 152321.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 212639240 is an apocalyptic number.

12639240 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 12639240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

12639240 is an abundant number, since it is smaller than the sum of its proper divisors (31269240).

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

12639240 is a wasteful number, since it uses less digits than its factorization.

12639240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12639240 is about 3555.1708819690. The cubic root of 12639240 is about 232.9379881268.

The spelling of 12639240 in words is "twelve million, six hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 81 83 90 94 108 120 135 141 162 166 180 188 216 235 249 270 282 324 332 360 376 405 415 423 470 498 540 564 648 664 705 747 810 830 846 940 996 1080 1128 1245 1269 1410 1494 1620 1660 1692 1880 1992 2115 2241 2490 2538 2820 2988 3240 3320 3384 3735 3807 3901 4230 4482 4980 5076 5640 5976 6345 6723 7470 7614 7802 8460 8964 9960 10152 11205 11703 12690 13446 14940 15228 15604 16920 17928 19035 19505 22410 23406 25380 26892 29880 30456 31208 33615 35109 38070 39010 44820 46812 50760 53784 58515 67230 70218 76140 78020 89640 93624 105327 117030 134460 140436 152280 156040 175545 210654 234060 268920 280872 315981 351090 421308 468120 526635 631962 702180 842616 1053270 1263924 1404360 1579905 2106540 2527848 3159810 4213080 6319620 12639240