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1220420240 = 245131173481
BaseRepresentation
bin100100010111110…
…0010001010010000
310011001102202211122
41020233202022100
54444411421430
6321033501412
742146254334
oct11057421220
93131382748
101220420240
11576993876
122a0871868
13165ac3c70
14b81277c4
1572220ee5
hex48be2290

1220420240 has 40 divisors (see below), whose sum is σ = 3055747128. Its totient is φ = 450616320.

The previous prime is 1220420233. The next prime is 1220420261. The reversal of 1220420240 is 420240221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22429696 + 1197990544 = 4736^2 + 34612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 585701 + ... + 587780.

Almost surely, 21220420240 is an apocalyptic number.

1220420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220420240 is an abundant number, since it is smaller than the sum of its proper divisors (1835326888).

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

1220420240 is a wasteful number, since it uses less digits than its factorization.

1220420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173507 (or 1173501 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1220420240 is about 34934.5135932934. The cubic root of 1220420240 is about 1068.6524042978.

Adding to 1220420240 its reverse (420240221), we get a palindrome (1640660461).

The spelling of 1220420240 in words is "one billion, two hundred twenty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1173481 2346962 4693924 5867405 9387848 11734810 15255253 18775696 23469620 30510506 46939240 61021012 76276265 93878480 122042024 152552530 244084048 305105060 610210120 1220420240