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215284640 = 2558271627
BaseRepresentation
bin11001101010011…
…11101110100000
3120000002121000012
430311033232200
5420103102030
633210144052
75222614004
oct1465175640
9500077005
10215284640
1110058259a
1260122028
13357a937c
1420840704
1513d78095
hexcd4fba0

215284640 has 48 divisors (see below), whose sum is σ = 509537952. Its totient is φ = 85956864.

The previous prime is 215284633. The next prime is 215284679. The reversal of 215284640 is 46482512.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 215284597 and 215284606.

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, 131507 + ... + 133133.

It is an arithmetic number, because the mean of its divisors is an integer number (10615374).

Almost surely, 2215284640 is an apocalyptic number.

215284640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215284640 is an abundant number, since it is smaller than the sum of its proper divisors (294253312).

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

215284640 is a wasteful number, since it uses less digits than its factorization.

215284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 215284640 is about 14672.5812316715. The cubic root of 215284640 is about 599.3368970571.

The spelling of 215284640 in words is "two hundred fifteen million, two hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 827 1627 1654 3254 3308 4135 6508 6616 8135 8270 13016 13232 16270 16540 26032 26464 32540 33080 52064 65080 66160 130160 132320 260320 1345529 2691058 5382116 6727645 10764232 13455290 21528464 26910580 43056928 53821160 107642320 215284640