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5413004240 = 2457193116411
BaseRepresentation
bin1010000101010001…
…11110001111010000
3111222020112002212112
411002220332033100
542041212113430
62253043244452
7251065530320
oct50250761720
914866462775
105413004240
112328555226
121070979728
136835a42b7
14394c8d280
1521a338195
hex142a3e3d0

5413004240 has 160 divisors (see below), whose sum is σ = 15629475840. Its totient is φ = 1701388800.

The previous prime is 5413004227. The next prime is 5413004249. The reversal of 5413004240 is 424003145.

It is a super-2 number, since 2×54130042402 = 58601229804515955200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413004249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321635 + ... + 338045.

It is an arithmetic number, because the mean of its divisors is an integer number (97684224).

Almost surely, 25413004240 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 5413004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814737920).

5413004240 is an abundant number, since it is smaller than the sum of its proper divisors (10216471600).

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

5413004240 is a wasteful number, since it uses less digits than its factorization.

5413004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16481 (or 16475 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 5413004240 is about 73573.1217225421. The cubic root of 5413004240 is about 1755.8178335077.

Adding to 5413004240 its reverse (424003145), we get a palindrome (5837007385).

The spelling of 5413004240 in words is "five billion, four hundred thirteen million, four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 56 62 70 76 80 95 112 124 133 140 152 155 190 217 248 266 280 304 310 380 434 496 532 560 589 620 665 760 868 1064 1085 1178 1240 1330 1520 1736 2128 2170 2356 2480 2660 2945 3472 4123 4340 4712 5320 5890 8246 8680 9424 10640 11780 16411 16492 17360 20615 23560 32822 32984 41230 47120 65644 65968 82055 82460 114877 131288 164110 164920 229754 262576 311809 328220 329840 459508 508741 574385 623618 656440 919016 1017482 1148770 1247236 1312880 1559045 1838032 2034964 2182663 2297540 2494472 2543705 3118090 3561187 4069928 4365326 4595080 4988944 5087410 6236180 7122374 8139856 8730652 9190160 9666079 10174820 10913315 12472360 14244748 17461304 17805935 19332158 20349640 21826630 24944720 28489496 34922608 35611870 38664316 40699280 43653260 48330395 56978992 67662553 71223740 77328632 87306520 96660790 135325106 142447480 154657264 174613040 193321580 270650212 284894960 338312765 386643160 541300424 676625530 773286320 1082600848 1353251060 2706502120 5413004240