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11864280 = 233598869
BaseRepresentation
bin101101010000…
…100011011000
3211022202201210
4231100203120
511014124110
61102143120
7202562511
oct55204330
924282653
1011864280
11677389a
123b81aa0
1325c52ac
14180ba08
151095520
hexb508d8

11864280 has 32 divisors (see below), whose sum is σ = 35593200. Its totient is φ = 3163776.

The previous prime is 11864273. The next prime is 11864311. The reversal of 11864280 is 8246811.

It is a super-3 number, since 3×118642803 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49315 + ... + 49554.

Almost surely, 211864280 is an apocalyptic number.

11864280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11864280 is an abundant number, since it is smaller than the sum of its proper divisors (23728920).

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

11864280 is a wasteful number, since it uses less digits than its factorization.

11864280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98883 (or 98879 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11864280 is about 3444.4564157498. The cubic root of 11864280 is about 228.0764594289.

The spelling of 11864280 in words is "eleven million, eight hundred sixty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 98869 197738 296607 395476 494345 593214 790952 988690 1186428 1483035 1977380 2372856 2966070 3954760 5932140 11864280