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10209730320 = 2433514931723
BaseRepresentation
bin10011000001000110…
…00001111100010000
3222100112102001001000
421200203001330100
5131402142332240
64405033542000
7511002163416
oct114043017420
928315361030
1010209730320
11436a143559
121b8b274900
13c692a065a
146cbd592b6
153eb4da430
hex2608c1f10

10209730320 has 160 divisors (see below), whose sum is σ = 35403984000. Its totient is φ = 2704237056.

The previous prime is 10209730277. The next prime is 10209730331. The reversal of 10209730320 is 2303790201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305979 + ... + 337701.

It is an arithmetic number, because the mean of its divisors is an integer number (221274900).

Almost surely, 210209730320 is an apocalyptic number.

10209730320 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 10209730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17701992000).

10209730320 is an abundant number, since it is smaller than the sum of its proper divisors (25194253680).

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

10209730320 is a wasteful number, since it uses less digits than its factorization.

10209730320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31894 (or 31882 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 10209730320 in words is "ten billion, two hundred nine million, seven hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 149 180 216 240 270 298 360 432 447 540 596 720 745 894 1080 1192 1341 1490 1788 2160 2235 2384 2682 2980 3576 4023 4470 5364 5960 6705 7152 8046 8940 10728 11920 13410 16092 17880 20115 21456 26820 31723 32184 35760 40230 53640 63446 64368 80460 95169 107280 126892 158615 160920 190338 253784 285507 317230 321840 380676 475845 507568 571014 634460 761352 856521 951690 1142028 1268920 1427535 1522704 1713042 1903380 2284056 2537840 2855070 3426084 3806760 4282605 4568112 4726727 5710140 6852168 7613520 8565210 9453454 11420280 13704336 14180181 17130420 18906908 22840560 23633635 28360362 34260840 37813816 42540543 47267270 56720724 68521680 70900905 75627632 85081086 94534540 113441448 127621629 141801810 170162172 189069080 212702715 226882896 255243258 283603620 340324344 378138160 425405430 510486516 567207240 638108145 680648688 850810860 1020973032 1134414480 1276216290 1701621720 2041946064 2552432580 3403243440 5104865160 10209730320