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19180980 = 223257131171
BaseRepresentation
bin100100100101…
…0110110110100
31100002111100200
41021022312310
514402242410
61523040500
7322015140
oct111126664
940074320
1019180980
11a910a55
126510130
133c876c0
142794220
151a3d3c0
hex124adb4

19180980 has 144 divisors (see below), whose sum is σ = 71670144. Its totient is φ = 4043520.

The previous prime is 19180943. The next prime is 19180991. The reversal of 19180980 is 8908191.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15795 + ... + 16965.

Almost surely, 219180980 is an apocalyptic number.

19180980 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 19180980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35835072).

19180980 is an abundant number, since it is smaller than the sum of its proper divisors (52489164).

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

19180980 is a wasteful number, since it uses less digits than its factorization.

19180980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 19180980 is about 4379.6095716399. The cubic root of 19180980 is about 267.6847298840.

The spelling of 19180980 in words is "nineteen million, one hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1171 1260 1365 1638 1820 2340 2342 2730 3276 3513 4095 4684 5460 5855 7026 8190 8197 10539 11710 14052 15223 16380 16394 17565 21078 23420 24591 30446 32788 35130 40985 42156 45669 49182 52695 60892 70260 73773 76115 81970 91338 98364 105390 106561 122955 137007 147546 152230 163940 182676 210780 213122 228345 245910 274014 295092 304460 319683 368865 426244 456690 491820 532805 548028 639366 685035 737730 913380 959049 1065610 1278732 1370070 1475460 1598415 1918098 2131220 2740140 3196830 3836196 4795245 6393660 9590490 19180980