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1450929680 = 245192833373
BaseRepresentation
bin101011001111011…
…0110111000010000
310202010011212100022
41112132312320100
510432414222210
6355550243012
750645461454
oct12636667020
93663155308
101450929680
11685014a42
12345ab6468
131a17a1095
14da9ac664
15875a5155
hex567b6e10

1450929680 has 80 divisors (see below), whose sum is σ = 3564563520. Its totient is φ = 547720704.

The previous prime is 1450929679. The next prime is 1450929743. The reversal of 1450929680 is 869290541.

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

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, 428474 + ... + 431846.

It is an arithmetic number, because the mean of its divisors is an integer number (44557044).

Almost surely, 21450929680 is an apocalyptic number.

1450929680 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 1450929680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782281760).

1450929680 is an abundant number, since it is smaller than the sum of its proper divisors (2113633840).

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

1450929680 is a wasteful number, since it uses less digits than its factorization.

1450929680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 1450929680 is about 38091.0708696933. The cubic root of 1450929680 is about 1132.0930430001.

The spelling of 1450929680 in words is "one billion, four hundred fifty million, nine hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 283 304 380 566 760 1132 1415 1520 2264 2830 3373 4528 5377 5660 6746 10754 11320 13492 16865 21508 22640 26885 26984 33730 43016 53770 53968 64087 67460 86032 107540 128174 134920 215080 256348 269840 320435 430160 512696 640870 954559 1025392 1281740 1909118 2563480 3818236 4772795 5126960 7636472 9545590 15272944 18136621 19091180 36273242 38182360 72546484 76364720 90683105 145092968 181366210 290185936 362732420 725464840 1450929680