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1431633920 = 216517257
BaseRepresentation
bin101010101010101…
…0000000000000000
310200202212112112112
41111111100000000
510412444241140
6354020514452
750322454553
oct12525200000
93622775475
101431633920
11675135832
1233b54ba28
1319a7a6382
14d81c869a
1585a42c65
hex55550000

1431633920 has 136 divisors (see below), whose sum is σ = 3652162344. Its totient is φ = 536870912.

The previous prime is 1431633901. The next prime is 1431633943. The reversal of 1431633920 is 293361341.

It can be written as a sum of positive squares in 4 ways, for example, as 736362496 + 695271424 = 27136^2 + 26368^2 .

It is a tau number, because it is divible by the number of its divisors (136).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 1431633920 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5570432 + ... + 5570688.

Almost surely, 21431633920 is an apocalyptic number.

1431633920 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 1431633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826081172).

1431633920 is an abundant number, since it is smaller than the sum of its proper divisors (2220528424).

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

1431633920 is an frugal number, since it uses more digits than its factorization.

1431633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 1431633920 is about 37836.9385653755. The cubic root of 1431633920 is about 1127.0521017476.

The spelling of 1431633920 in words is "one billion, four hundred thirty-one million, six hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 257 272 320 340 512 514 544 640 680 1024 1028 1088 1280 1285 1360 2048 2056 2176 2560 2570 2720 4096 4112 4352 4369 5120 5140 5440 8192 8224 8704 8738 10240 10280 10880 16384 16448 17408 17476 20480 20560 21760 21845 32768 32896 34816 34952 40960 41120 43520 43690 65536 65792 69632 69904 81920 82240 87040 87380 131584 139264 139808 163840 164480 174080 174760 263168 278528 279616 327680 328960 348160 349520 526336 557056 559232 657920 696320 699040 1052672 1114112 1118464 1315840 1392640 1398080 2105344 2236928 2631680 2785280 2796160 4210688 4473856 5263360 5570560 5592320 8421376 8947712 10526720 11184640 16842752 17895424 21053440 22369280 35790848 42106880 44738560 71581696 84213760 89477120 143163392 178954240 286326784 357908480 715816960 1431633920