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12709900 = 2252767271
BaseRepresentation
bin110000011111…
…000000001100
3212220201201001
4300133000030
511223204100
61132230044
7213014050
oct60370014
925821631
1012709900
1171a1155
12430b324
132830168
14198bc60
1511b0d6a
hexc1f00c

12709900 has 72 divisors (see below), whose sum is σ = 32109056. Its totient is φ = 4276800.

The previous prime is 12709883. The next prime is 12709903. The reversal of 12709900 is 990721.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12709903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46765 + ... + 47035.

Almost surely, 212709900 is an apocalyptic number.

12709900 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 12709900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16054528).

12709900 is an abundant number, since it is smaller than the sum of its proper divisors (19399156).

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

12709900 is a wasteful number, since it uses less digits than its factorization.

12709900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 12709900 is about 3565.0946691498. The cubic root of 12709900 is about 233.3712636750.

The spelling of 12709900 in words is "twelve million, seven hundred nine thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 271 335 350 469 542 670 700 938 1084 1340 1355 1675 1876 1897 2345 2710 3350 3794 4690 5420 6700 6775 7588 9380 9485 11725 13550 18157 18970 23450 27100 36314 37940 46900 47425 72628 90785 94850 127099 181570 189700 254198 363140 453925 508396 635495 907850 1270990 1815700 2541980 3177475 6354950 12709900