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12732103920 = 2435414330091
BaseRepresentation
bin10111101101110010…
…00111110011110000
31012212022200220010110
423312321013303300
5202033404311140
65503221101320
7630341045334
oct136671076360
935768626113
1012732103920
115443a39138
122573b57840
13127ba34703
1488ad517c4
154e7b85380
hex2f6e47cf0

12732103920 has 160 divisors (see below), whose sum is σ = 41373851904. Its totient is φ = 3235276800.

The previous prime is 12732103907. The next prime is 12732103933. The reversal of 12732103920 is 2930123721.

It is an interprime number because it is at equal distance from previous prime (12732103907) and next prime (12732103933).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 408075 + ... + 438165.

Almost surely, 212732103920 is an apocalyptic number.

12732103920 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 12732103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20686925952).

12732103920 is an abundant number, since it is smaller than the sum of its proper divisors (28641747984).

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

12732103920 is a wasteful number, since it uses less digits than its factorization.

12732103920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30191 (or 30185 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 12732103920 in words is "twelve billion, seven hundred thirty-two million, one hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 43 48 60 80 82 86 120 123 129 164 172 205 215 240 246 258 328 344 410 430 492 516 615 645 656 688 820 860 984 1032 1230 1290 1640 1720 1763 1968 2064 2460 2580 3280 3440 3526 4920 5160 5289 7052 8815 9840 10320 10578 14104 17630 21156 26445 28208 30091 35260 42312 52890 60182 70520 84624 90273 105780 120364 141040 150455 180546 211560 240728 300910 361092 423120 451365 481456 601820 722184 902730 1203640 1233731 1293913 1444368 1805460 2407280 2467462 2587826 3610920 3701193 3881739 4934924 5175652 6168655 6469565 7221840 7402386 7763478 9869848 10351304 12337310 12939130 14804772 15526956 18505965 19408695 19739696 20702608 24674620 25878260 29609544 31053912 37011930 38817390 49349240 51756520 53050433 59219088 62107824 74023860 77634780 98698480 103513040 106100866 148047720 155269560 159151299 212201732 265252165 296095440 310539120 318302598 424403464 530504330 636605196 795756495 848806928 1061008660 1273210392 1591512990 2122017320 2546420784 3183025980 4244034640 6366051960 12732103920