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45071180 = 225721137113
BaseRepresentation
bin1010101111101…
…1101101001100
310010210212000222
42223323231030
543014234210
64250010512
71055045600
oct253735514
9103725028
1045071180
1123494710
1213116a38
139450b4b
145db3500
153e54655
hex2afbb4c

45071180 has 144 divisors (see below), whose sum is σ = 124449696. Its totient is φ = 13547520.

The previous prime is 45071161. The next prime is 45071183. The reversal of 45071180 is 8117054.

It is a super-2 number, since 2×450711802 = 4062822533184800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45071183) 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, 398804 + ... + 398916.

It is an arithmetic number, because the mean of its divisors is an integer number (864234).

Almost surely, 245071180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45071180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62224848).

45071180 is an abundant number, since it is smaller than the sum of its proper divisors (79378516).

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

45071180 is a wasteful number, since it uses less digits than its factorization.

45071180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 45071180 is about 6713.5072801033. The cubic root of 45071180 is about 355.8767721462.

The spelling of 45071180 in words is "forty-five million, seventy-one thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 49 55 70 74 77 98 110 113 140 148 154 185 196 220 226 245 259 308 370 385 407 452 490 518 539 565 740 770 791 814 980 1036 1078 1130 1243 1295 1540 1582 1628 1813 2035 2156 2260 2486 2590 2695 2849 3164 3626 3955 4070 4181 4972 5180 5390 5537 5698 6215 7252 7910 8140 8362 8701 9065 10780 11074 11396 12430 14245 15820 16724 17402 18130 19943 20905 22148 24860 27685 28490 29267 34804 36260 39886 41810 43505 45991 55370 56980 58534 60907 79772 83620 87010 91982 99715 110740 117068 121814 146335 174020 183964 199430 204869 229955 243628 292670 304535 321937 398860 409738 459910 585340 609070 643874 819476 919820 1024345 1218140 1287748 1609685 2048690 2253559 3219370 4097380 4507118 6438740 9014236 11267795 22535590 45071180