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5415005640 = 2335118946093
BaseRepresentation
bin1010000101100001…
…00110110111001000
3111222101021210021110
411002300212313020
542042220140030
62253154210320
7251121534312
oct50260466710
914871253243
105415005640
1123296a1980
1210715839a0
13683b25265
143952507b2
1521a5d11b0
hex142c26dc8

5415005640 has 128 divisors (see below), whose sum is σ = 17921347200. Its totient is φ = 1297950720.

The previous prime is 5415005591. The next prime is 5415005653. The reversal of 5415005640 is 465005145.

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 = 5415005598 and 5415005607.

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, 94434 + ... + 140526.

It is an arithmetic number, because the mean of its divisors is an integer number (140010525).

Almost surely, 25415005640 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 5415005640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960673600).

5415005640 is an abundant number, since it is smaller than the sum of its proper divisors (12506341560).

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

5415005640 is a wasteful number, since it uses less digits than its factorization.

5415005640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46207 (or 46203 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 5415005640 is about 73586.7219000819. The cubic root of 5415005640 is about 1756.0342050854.

The spelling of 5415005640 in words is "five billion, four hundred fifteen million, five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 120 132 165 178 220 264 267 330 356 440 445 534 660 712 890 979 1068 1320 1335 1780 1958 2136 2670 2937 3560 3916 4895 5340 5874 7832 9790 10680 11748 14685 19580 23496 29370 39160 46093 58740 92186 117480 138279 184372 230465 276558 368744 460930 507023 553116 691395 921860 1014046 1106232 1382790 1521069 1843720 2028092 2535115 2765580 3042138 4056184 4102277 5070230 5531160 6084276 7605345 8204554 10140460 12168552 12306831 15210690 16409108 20280920 20511385 24613662 30421380 32818216 41022770 45125047 49227324 60842760 61534155 82045540 90250094 98454648 123068310 135375141 164091080 180500188 225625235 246136620 270750282 361000376 451250470 492273240 541500564 676875705 902500940 1083001128 1353751410 1805001880 2707502820 5415005640