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12953400 = 2335221589
BaseRepresentation
bin110001011010…
…011100111000
3220101002201120
4301122130320
511304002100
61141345240
7215050005
oct61323470
926332646
1012953400
117348099
124408220
1328b6c45
141a128ac
15120d0a0
hexc5a738

12953400 has 48 divisors (see below), whose sum is σ = 40157400. Its totient is φ = 3454080.

The previous prime is 12953399. The next prime is 12953407. The reversal of 12953400 is 435921.

12953400 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 a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10195 + ... + 11394.

Almost surely, 212953400 is an apocalyptic number.

12953400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12953400 is an abundant number, since it is smaller than the sum of its proper divisors (27204000).

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

12953400 is a wasteful number, since it uses less digits than its factorization.

12953400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21608 (or 21599 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 12953400 is about 3599.0832165984. The cubic root of 12953400 is about 234.8521780476.

The spelling of 12953400 in words is "twelve million, nine hundred fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 21589 43178 64767 86356 107945 129534 172712 215890 259068 323835 431780 518136 539725 647670 863560 1079450 1295340 1619175 2158900 2590680 3238350 4317800 6476700 12953400