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1330894976 = 271931127139
BaseRepresentation
bin100111101010011…
…1101100010000000
310102202022110200112
41033110331202000
510211202114401
6340021410452
744660264165
oct11724754200
93382273615
101330894976
1162328a104
12311869a28
13182964428
14c8a8406c
157bc943bb
hex4f53d880

1330894976 has 128 divisors (see below), whose sum is σ = 2924544000. Its totient is φ = 600929280.

The previous prime is 1330894951. The next prime is 1330894987. The reversal of 1330894976 is 6794980331.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9574715 + ... + 9574853.

It is an arithmetic number, because the mean of its divisors is an integer number (22848000).

Almost surely, 21330894976 is an apocalyptic number.

1330894976 is a gapful number since it is divisible by the number (16) 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 1330894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462272000).

1330894976 is an abundant number, since it is smaller than the sum of its proper divisors (1593649024).

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

1330894976 is a wasteful number, since it uses less digits than its factorization.

1330894976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The square root of 1330894976 is about 36481.4333051759. The cubic root of 1330894976 is about 1099.9710670076.

The spelling of 1330894976 in words is "one billion, three hundred thirty million, eight hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 127 128 139 152 248 254 278 304 496 508 556 589 608 992 1016 1112 1178 1216 1984 2032 2224 2356 2413 2432 2641 3937 3968 4064 4309 4448 4712 4826 5282 7874 8128 8618 8896 9424 9652 10564 15748 16256 17236 17653 17792 18848 19304 21128 31496 34472 35306 37696 38608 42256 62992 68944 70612 74803 75392 77216 81871 84512 125984 137888 141224 149606 154432 163742 169024 251968 275776 282448 299212 308864 327484 335407 338048 503936 547243 551552 564896 598424 654968 670814 1094486 1129792 1196848 1309936 1341628 2188972 2259584 2393696 2619872 2683256 4377944 4787392 5239744 5366512 8755888 9574784 10397617 10479488 10733024 17511776 20795234 21466048 35023552 41590468 42932096 70047104 83180936 166361872 332723744 665447488 1330894976