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1220032540 = 225175876113
BaseRepresentation
bin100100010111000…
…0011100000011100
310011000201002000101
41020232003200130
54444312020130
6321021310444
742143051116
oct11056034034
93130632011
101220032540
11576749561
122a0705424
131659b965c
14b80663b6
15721961ca
hex48b8381c

1220032540 has 48 divisors (see below), whose sum is σ = 2717844192. Its totient is φ = 458448896.

The previous prime is 1220032529. The next prime is 1220032543. The reversal of 1220032540 is 452300221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220032543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196524 + ... + 202636.

It is an arithmetic number, because the mean of its divisors is an integer number (56621754).

Almost surely, 21220032540 is an apocalyptic number.

1220032540 is a gapful number since it is divisible by the number (10) 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 1220032540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358922096).

1220032540 is an abundant number, since it is smaller than the sum of its proper divisors (1497811652).

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

1220032540 is a wasteful number, since it uses less digits than its factorization.

1220032540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1220032540 is about 34928.9641987849. The cubic root of 1220032540 is about 1068.5392300528.

Adding to 1220032540 its reverse (452300221), we get a palindrome (1672332761).

The spelling of 1220032540 in words is "one billion, two hundred twenty million, thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 587 1174 2348 2935 5870 6113 9979 11740 12226 19958 24452 30565 39916 49895 61130 99790 103921 122260 199580 207842 415684 519605 1039210 2078420 3588331 7176662 14353324 17941655 35883310 61001627 71766620 122003254 244006508 305008135 610016270 1220032540