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6423427200 = 27352669107
BaseRepresentation
bin1011111101101110…
…11011100010000000
3121120122210220121010
411332313123202000
5101123344132300
62541220200520
7315115142001
oct57667334200
917518726533
106423427200
1127a6947a23
1212b3239140
137b4a206c8
1444d1511a8
15278dc7a50
hex17eddb880

6423427200 has 96 divisors (see below), whose sum is σ = 21157194960. Its totient is φ = 1712911360.

The previous prime is 6423427159. The next prime is 6423427211. The reversal of 6423427200 is 27243246.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324954 + ... + 344153.

Almost surely, 26423427200 is an apocalyptic number.

6423427200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6423427200 is an abundant number, since it is smaller than the sum of its proper divisors (14733767760).

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

6423427200 is a wasteful number, since it uses less digits than its factorization.

6423427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669134 (or 669117 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 6423427200 is about 80146.2862520778. The cubic root of 6423427200 is about 1858.8981796713.

The spelling of 6423427200 in words is "six billion, four hundred twenty-three million, four hundred twenty-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 669107 1338214 2007321 2676428 3345535 4014642 5352856 6691070 8029284 10036605 10705712 13382140 16058568 16727675 20073210 21411424 26764280 32117136 33455350 40146420 42822848 50183025 53528560 64234272 66910700 80292840 85645696 100366050 107057120 128468544 133821400 160585680 200732100 214114240 256937088 267642800 321171360 401464200 428228480 535285600 642342720 802928400 1070571200 1284685440 1605856800 2141142400 3211713600 6423427200