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20949180 = 22357311609
BaseRepresentation
bin100111111101…
…0100010111100
31110102022212120
41033322202330
520330333210
62025002540
7343031220
oct117724274
943368776
1020949180
111090947a
127023450
134456485
142ad4780
151c8c270
hex13fa8bc

20949180 has 96 divisors (see below), whose sum is σ = 69242880. Its totient is φ = 4631040.

The previous prime is 20949167. The next prime is 20949199. The reversal of 20949180 is 8194902.

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, 12216 + ... + 13824.

It is an arithmetic number, because the mean of its divisors is an integer number (721280).

Almost surely, 220949180 is an apocalyptic number.

20949180 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 20949180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34621440).

20949180 is an abundant number, since it is smaller than the sum of its proper divisors (48293700).

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

20949180 is a wasteful number, since it uses less digits than its factorization.

20949180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 20949180 is about 4577.0274196251. The cubic root of 20949180 is about 275.6696846532.

The spelling of 20949180 in words is "twenty million, nine hundred forty-nine thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1609 1860 2170 2604 3218 3255 4340 4827 6436 6510 8045 9654 11263 13020 16090 19308 22526 24135 32180 33789 45052 48270 49879 56315 67578 96540 99758 112630 135156 149637 168945 199516 225260 249395 299274 337890 349153 498790 598548 675780 698306 748185 997580 1047459 1396612 1496370 1745765 2094918 2992740 3491530 4189836 5237295 6983060 10474590 20949180