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1146764320 = 255134791151
BaseRepresentation
bin100010001011010…
…0011110000100000
32221220211122220121
41010112203300200
54322032424240
6305443050024
740263223132
oct10426436040
92856748817
101146764320
11539356009
12280070914
13153775390
14ac433052
156aa2204a
hex445a3c20

1146764320 has 96 divisors (see below), whose sum is σ = 2926264320. Its totient is φ = 422169600.

The previous prime is 1146764309. The next prime is 1146764321. The reversal of 1146764320 is 234676411.

It is not an unprimeable number, because it can be changed into a prime (1146764321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995745 + ... + 996895.

It is an arithmetic number, because the mean of its divisors is an integer number (30481920).

Almost surely, 21146764320 is an apocalyptic number.

1146764320 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 1146764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463132160).

1146764320 is an abundant number, since it is smaller than the sum of its proper divisors (1779500000).

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

1146764320 is a wasteful number, since it uses less digits than its factorization.

1146764320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 1146764320 is about 33863.9088115947. The cubic root of 1146764320 is about 1046.7060249082.

The spelling of 1146764320 in words is "one billion, one hundred forty-six million, seven hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 479 520 958 1040 1151 1916 2080 2302 2395 3832 4604 4790 5755 6227 7664 9208 9580 11510 12454 14963 15328 18416 19160 23020 24908 29926 31135 36832 38320 46040 49816 59852 62270 74815 76640 92080 99632 119704 124540 149630 184160 199264 239408 249080 299260 478816 498160 551329 598520 996320 1102658 1197040 2205316 2394080 2756645 4410632 5513290 7167277 8821264 11026580 14334554 17642528 22053160 28669108 35836385 44106320 57338216 71672770 88212640 114676432 143345540 229352864 286691080 573382160 1146764320