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56340300 = 22352672803
BaseRepresentation
bin1101011011101…
…0111101001100
310221000101100210
43112322331030
5103410342200
65331322420
71252612302
oct326727514
9127011323
1056340300
1129891335
1216a50410
13b898273
1476a8272
154e2d650
hex35baf4c

56340300 has 72 divisors (see below), whose sum is σ = 165503296. Its totient is φ = 14794560.

The previous prime is 56340259. The next prime is 56340341. The reversal of 56340300 is 304365.

It is an interprime number because it is at equal distance from previous prime (56340259) and next prime (56340341).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18699 + ... + 21501.

Almost surely, 256340300 is an apocalyptic number.

56340300 is a gapful number since it is divisible by the number (50) 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 56340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82751648).

56340300 is an abundant number, since it is smaller than the sum of its proper divisors (109162996).

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

56340300 is a wasteful number, since it uses less digits than its factorization.

56340300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 56340300 is about 7506.0175859107. The cubic root of 56340300 is about 383.3596369264.

Adding to 56340300 its reverse (304365), we get a palindrome (56644665).

The spelling of 56340300 in words is "fifty-six million, three hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 2803 3350 4020 5025 5606 6700 8409 10050 11212 14015 16818 20100 28030 33636 42045 56060 70075 84090 140150 168180 187801 210225 280300 375602 420450 563403 751204 840900 939005 1126806 1878010 2253612 2817015 3756020 4695025 5634030 9390050 11268060 14085075 18780100 28170150 56340300