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12197680 = 2451183167
BaseRepresentation
bin101110100001…
…111100110000
3211221201001221
4232201330300
511110311210
61113234424
7205451515
oct56417460
924851057
1012197680
116981330
124102a14
1326b0c81
14189730c
15110e1da
hexba1f30

12197680 has 80 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 4355840.

The previous prime is 12197657. The next prime is 12197701. The reversal of 12197680 is 8679121.

It is a happy number.

12197680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 72957 + ... + 73123.

Almost surely, 212197680 is an apocalyptic number.

12197680 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 12197680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

12197680 is an abundant number, since it is smaller than the sum of its proper divisors (19300304).

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

12197680 is a wasteful number, since it uses less digits than its factorization.

12197680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 12197680 is about 3492.5177164905. The cubic root of 12197680 is about 230.1931584673.

The spelling of 12197680 in words is "twelve million, one hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 167 176 220 332 334 415 440 664 668 830 835 880 913 1328 1336 1660 1670 1826 1837 2672 3320 3340 3652 3674 4565 6640 6680 7304 7348 9130 9185 13360 13861 14608 14696 18260 18370 27722 29392 36520 36740 55444 69305 73040 73480 110888 138610 146960 152471 221776 277220 304942 554440 609884 762355 1108880 1219768 1524710 2439536 3049420 6098840 12197680