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1416054640 = 2457111317683
BaseRepresentation
bin101010001100111…
…0100011101110000
310122200120000210011
41110121310131300
510400002222030
6352302544304
750043160120
oct12431643560
93580500704
101416054640
116673648a0
12336298094
131974b0170
14d60d0c80
15844b6b2a
hex54674770

1416054640 has 160 divisors (see below), whose sum is σ = 4420717056. Its totient is φ = 407393280.

The previous prime is 1416054631. The next prime is 1416054691. The reversal of 1416054640 is 464506141.

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, 71239 + ... + 88921.

Almost surely, 21416054640 is an apocalyptic number.

1416054640 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 1416054640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210358528).

1416054640 is an abundant number, since it is smaller than the sum of its proper divisors (3004662416).

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

1416054640 is a wasteful number, since it uses less digits than its factorization.

1416054640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17727 (or 17721 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1416054640 is about 37630.5014582586. The cubic root of 1416054640 is about 1122.9489251857.

The spelling of 1416054640 in words is "one billion, four hundred sixteen million, fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5720 6160 7280 8008 10010 11440 16016 17683 20020 35366 40040 70732 80080 88415 123781 141464 176830 194513 229879 247562 282928 353660 389026 459758 495124 618905 707320 778052 919516 972565 990248 1149395 1237810 1361591 1414640 1556104 1609153 1839032 1945130 1980496 2298790 2475620 2528669 2723182 3112208 3218306 3678064 3890260 4597580 4951240 5057338 5446364 6436612 6807955 7780520 8045765 9195160 9902480 10114676 10892728 12643345 12873224 13615910 15561040 16091530 17700683 18390320 20229352 21785456 25286690 25746448 27231820 32183060 35401366 40458704 50573380 54463640 64366120 70802732 88503415 101146760 108927280 128732240 141605464 177006830 202293520 283210928 354013660 708027320 1416054640