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180031040 = 2657179449
BaseRepresentation
bin10101011101100…
…00111001000000
3110112202112011022
422232300321000
5332041443130
625510405012
74314144560
oct1256607100
9415675138
10180031040
1192693a92
1250360768
132b3b5057
1419ca4da0
1510c127e5
hexabb0e40

180031040 has 112 divisors (see below), whose sum is σ = 493776000. Its totient is φ = 61243392.

The previous prime is 180031039. The next prime is 180031057. The reversal of 180031040 is 40130081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1800310402 = 64822350726963200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400736 + ... + 401184.

Almost surely, 2180031040 is an apocalyptic number.

180031040 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 180031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246888000).

180031040 is an abundant number, since it is smaller than the sum of its proper divisors (313744960).

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

180031040 is a wasteful number, since it uses less digits than its factorization.

180031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 180031040 is about 13417.5646076328. The cubic root of 180031040 is about 564.6540707503.

The spelling of 180031040 in words is "one hundred eighty million, thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 179 224 280 320 358 448 449 560 716 895 898 1120 1253 1432 1790 1796 2240 2245 2506 2864 3143 3580 3592 4490 5012 5728 6265 6286 7160 7184 8980 10024 11456 12530 12572 14320 14368 15715 17960 20048 25060 25144 28640 28736 31430 35920 40096 50120 50288 57280 62860 71840 80192 80371 100240 100576 125720 143680 160742 200480 201152 251440 321484 400960 401855 502880 562597 642968 803710 1005760 1125194 1285936 1607420 2250388 2571872 2812985 3214840 4500776 5143744 5625970 6429680 9001552 11251940 12859360 18003104 22503880 25718720 36006208 45007760 90015520 180031040