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2018054640 = 243572115693
BaseRepresentation
bin111100001001001…
…0001000111110000
312012122022210112110
41320102101013300
513113110222030
6532125525320
7101003116140
oct17022210760
95178283473
102018054640
11946159358
12483a13840
13262129194
14152038920
15bc27c1b0
hex784911f0

2018054640 has 160 divisors (see below), whose sum is σ = 7184825856. Its totient is φ = 459002880.

The previous prime is 2018054627. The next prime is 2018054641. The reversal of 2018054640 is 464508102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2018054598 and 2018054607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018054641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351634 + ... + 357326.

Almost surely, 22018054640 is an apocalyptic number.

2018054640 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 2018054640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592412928).

2018054640 is an abundant number, since it is smaller than the sum of its proper divisors (5166771216).

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

2018054640 is a wasteful number, since it uses less digits than its factorization.

2018054640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2018054640 is about 44922.7630494831. The cubic root of 2018054640 is about 1263.7009353618.

The spelling of 2018054640 in words is "two billion, eighteen million, fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 211 240 280 336 420 422 560 633 840 844 1055 1266 1477 1680 1688 2110 2532 2954 3165 3376 4220 4431 5064 5693 5908 6330 7385 8440 8862 10128 11386 11816 12660 14770 16880 17079 17724 22155 22772 23632 25320 28465 29540 34158 35448 39851 44310 45544 50640 56930 59080 68316 70896 79702 85395 88620 91088 113860 118160 119553 136632 159404 170790 177240 199255 227720 239106 273264 318808 341580 354480 398510 455440 478212 597765 637616 683160 797020 956424 1195530 1201223 1366320 1594040 1912848 2391060 2402446 3188080 3603669 4782120 4804892 6006115 7207338 8408561 9564240 9609784 12012230 14414676 16817122 18018345 19219568 24024460 25225683 28829352 33634244 36036690 42042805 48048920 50451366 57658704 67268488 72073380 84085610 96097840 100902732 126128415 134536976 144146760 168171220 201805464 252256830 288293520 336342440 403610928 504513660 672684880 1009027320 2018054640