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203128740 = 223253159617
BaseRepresentation
bin11000001101101…
…11111110100100
3112011020000020200
430012313332210
5404000104430
632053430500
75014365033
oct1406677644
9464200220
10203128740
11a472a6a1
125803b430
1333111429
141cd9871a
1512c76460
hexc1b7fa4

203128740 has 144 divisors (see below), whose sum is σ = 647861760. Its totient is φ = 51448320.

The previous prime is 203128727. The next prime is 203128741. The reversal of 203128740 is 47821302.

It is a super-2 number, since 2×2031287402 = 82522570027975200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203128741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328912 + ... + 329528.

It is an arithmetic number, because the mean of its divisors is an integer number (4499040).

Almost surely, 2203128740 is an apocalyptic number.

203128740 is a gapful number since it is divisible by the number (20) 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 203128740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323930880).

203128740 is an abundant number, since it is smaller than the sum of its proper divisors (444733020).

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

203128740 is a wasteful number, since it uses less digits than its factorization.

203128740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 203128740 is about 14252.3240210150. The cubic root of 203128740 is about 587.8372796995.

The spelling of 203128740 in words is "two hundred three million, one hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 59 60 62 90 93 118 124 155 177 180 186 236 279 295 310 354 372 465 531 558 590 617 620 708 885 930 1062 1116 1180 1234 1395 1770 1829 1851 1860 2124 2468 2655 2790 3085 3540 3658 3702 5310 5487 5553 5580 6170 7316 7404 9145 9255 10620 10974 11106 12340 16461 18290 18510 19127 21948 22212 27435 27765 32922 36403 36580 37020 38254 54870 55530 57381 65844 72806 76508 82305 95635 109209 109740 111060 114762 145612 164610 172143 182015 191270 218418 229524 286905 327627 329220 344286 364030 382540 436836 546045 573810 655254 688572 728060 860715 1092090 1128493 1147620 1310508 1638135 1721430 2184180 2256986 3276270 3385479 3442860 4513972 5642465 6552540 6770958 10156437 11284930 13541916 16927395 20312874 22569860 33854790 40625748 50782185 67709580 101564370 203128740