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248790660 = 223511713541
BaseRepresentation
bin11101101010000…
…11111010000100
3122100010212121220
432311003322010
51002142300120
640404240340
76110454126
oct1665037204
9570125556
10248790660
11118488118
126b3a00b0
133c70b111
1425083216
1516c95b40
hexed43e84

248790660 has 48 divisors (see below), whose sum is σ = 697405632. Its totient is φ = 66268800.

The previous prime is 248790653. The next prime is 248790697. The reversal of 248790660 is 66097842.

248790660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68490 + ... + 72030.

It is an arithmetic number, because the mean of its divisors is an integer number (14529284).

Almost surely, 2248790660 is an apocalyptic number.

248790660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248790660 is an abundant number, since it is smaller than the sum of its proper divisors (448614972).

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

248790660 is a wasteful number, since it uses less digits than its factorization.

248790660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 248790660 is about 15773.0992515739. The cubic root of 248790660 is about 628.9431006822.

The spelling of 248790660 in words is "two hundred forty-eight million, seven hundred ninety thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1171 2342 3513 3541 4684 5855 7026 7082 10623 11710 14052 14164 17565 17705 21246 23420 35130 35410 42492 53115 70260 70820 106230 212460 4146511 8293022 12439533 16586044 20732555 24879066 41465110 49758132 62197665 82930220 124395330 248790660