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13397400 = 233452827
BaseRepresentation
bin110011000110…
…110110011000
3221012122210000
4303012312120
511412204100
61155053000
7221606322
oct63066630
927178700
1013397400
117620735
1245a1160
132a11073
141aca612
151299900
hexcc6d98

13397400 has 120 divisors (see below), whose sum is σ = 46587420. Its totient is φ = 3568320.

The previous prime is 13397399. The next prime is 13397401. The reversal of 13397400 is 479331.

13397400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13397399) and next prime (13397401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13397401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15787 + ... + 16613.

Almost surely, 213397400 is an apocalyptic number.

13397400 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 13397400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23293710).

13397400 is an abundant number, since it is smaller than the sum of its proper divisors (33190020).

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

13397400 is a wasteful number, since it uses less digits than its factorization.

13397400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13397400 is about 3660.2458933793. The cubic root of 13397400 is about 237.5054107724.

The spelling of 13397400 in words is "thirteen million, three hundred ninety-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 827 900 1080 1350 1620 1654 1800 2025 2481 2700 3240 3308 4050 4135 4962 5400 6616 7443 8100 8270 9924 12405 14886 16200 16540 19848 20675 22329 24810 29772 33080 37215 41350 44658 49620 59544 62025 66987 74430 82700 89316 99240 111645 124050 133974 148860 165400 178632 186075 223290 248100 267948 297720 334935 372150 446580 496200 535896 558225 669870 744300 893160 1116450 1339740 1488600 1674675 2232900 2679480 3349350 4465800 6698700 13397400