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1320422320 = 245710312287
BaseRepresentation
bin100111010110100…
…0000101110110000
310102000121101220101
41032231000232300
510201012003240
6335005122144
744502255520
oct11655005660
93360541811
101320422320
11618386918
1230a259354
131807386a9
14c7519680
157adc639a
hex4eb40bb0

1320422320 has 80 divisors (see below), whose sum is σ = 3513489408. Its totient is φ = 452079360.

The previous prime is 1320422273. The next prime is 1320422329. The reversal of 1320422320 is 232240231.

1320422320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1320422329) 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, 576217 + ... + 578503.

Almost surely, 21320422320 is an apocalyptic number.

1320422320 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 1320422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756744704).

1320422320 is an abundant number, since it is smaller than the sum of its proper divisors (2193067088).

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

1320422320 is a wasteful number, since it uses less digits than its factorization.

1320422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1320422320 is about 36337.6157720894. The cubic root of 1320422320 is about 1097.0782850581.

Adding to 1320422320 its reverse (232240231), we get a palindrome (1552662551).

The spelling of 1320422320 in words is "one billion, three hundred twenty million, four hundred twenty-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 1031 2062 2287 4124 4574 5155 7217 8248 9148 10310 11435 14434 16009 16496 18296 20620 22870 28868 32018 36085 36592 41240 45740 57736 64036 72170 80045 82480 91480 115472 128072 144340 160090 182960 256144 288680 320180 577360 640360 1280720 2357897 4715794 9431588 11789485 16505279 18863176 23578970 33010558 37726352 47157940 66021116 82526395 94315880 132042232 165052790 188631760 264084464 330105580 660211160 1320422320