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13550900 = 22521197127
BaseRepresentation
bin110011101100…
…010100110100
3221111110100012
4303230110310
511432112100
61202235352
7223115666
oct63542464
927443305
1013550900
117715aa0
124655b58
132a65bac
141b2a536
1512ca135
hexcec534

13550900 has 72 divisors (see below), whose sum is σ = 32664576. Its totient is φ = 4838400.

The previous prime is 13550897. The next prime is 13550903. The reversal of 13550900 is 905531.

13550900 is digitally balanced in base 2, because in such base 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 (13550897) and next prime (13550903).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13550903) 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, 106637 + ... + 106763.

Almost surely, 213550900 is an apocalyptic number.

13550900 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 13550900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16332288).

13550900 is an abundant number, since it is smaller than the sum of its proper divisors (19113676).

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

13550900 is a wasteful number, since it uses less digits than its factorization.

13550900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 13550900 is about 3681.1547101419. The cubic root of 13550900 is about 238.4090369756.

The spelling of 13550900 in words is "thirteen million, five hundred fifty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 97 100 110 127 194 220 254 275 388 485 508 550 635 970 1067 1100 1270 1397 1940 2134 2425 2540 2794 3175 4268 4850 5335 5588 6350 6985 9700 10670 12319 12700 13970 21340 24638 26675 27940 34925 49276 53350 61595 69850 106700 123190 135509 139700 246380 271018 307975 542036 615950 677545 1231900 1355090 2710180 3387725 6775450 13550900