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1220042320 = 24572178647
BaseRepresentation
bin100100010111000…
…0101111001010000
310011000201120102121
41020232011321100
54444312323240
6321021424024
742143121460
oct11056057120
93130646377
101220042320
11576755942
122a070b014
131659c0c43
14b8069ba0
157219904a
hex48b85e50

1220042320 has 40 divisors (see below), whose sum is σ = 3241828224. Its totient is φ = 418300032.

The previous prime is 1220042303. The next prime is 1220042321. The reversal of 1220042320 is 232400221.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1220042294 and 1220042303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220042321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1088764 + ... + 1089883.

Almost surely, 21220042320 is an apocalyptic number.

1220042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220042320 is an abundant number, since it is smaller than the sum of its proper divisors (2021785904).

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

1220042320 is a wasteful number, since it uses less digits than its factorization.

1220042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178667 (or 2178661 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1220042320 is about 34929.1041969301. The cubic root of 1220042320 is about 1068.5420852460.

Adding to 1220042320 its reverse (232400221), we get a palindrome (1452442541).

The spelling of 1220042320 in words is "one billion, two hundred twenty million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2178647 4357294 8714588 10893235 15250529 17429176 21786470 30501058 34858352 43572940 61002116 76252645 87145880 122004232 152505290 174291760 244008464 305010580 610021160 1220042320