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10307664240 = 2435377315901
BaseRepresentation
bin10011001100110001…
…00111100101110000
3222121100200121010020
421212120213211300
5132102230223430
64422453003440
7513301462146
oct114630474560
928540617106
1010307664240
11440a453785
121bb8023580
13c8366c913
146dad6d596
15404dd2b10
hex266627970

10307664240 has 160 divisors (see below), whose sum is σ = 33269019456. Its totient is φ = 2637619200.

The previous prime is 10307664239. The next prime is 10307664287. The reversal of 10307664240 is 4246670301.

It is a happy number.

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, 640290 + ... + 656190.

Almost surely, 210307664240 is an apocalyptic number.

10307664240 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 10307664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634509728).

10307664240 is an abundant number, since it is smaller than the sum of its proper divisors (22961355216).

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

10307664240 is a wasteful number, since it uses less digits than its factorization.

10307664240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16027 (or 16021 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 10307664240 in words is "ten billion, three hundred seven million, six hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 73 74 80 111 120 146 148 185 219 222 240 292 296 365 370 438 444 555 584 592 730 740 876 888 1095 1110 1168 1460 1480 1752 1776 2190 2220 2701 2920 2960 3504 4380 4440 5402 5840 8103 8760 8880 10804 13505 15901 16206 17520 21608 27010 31802 32412 40515 43216 47703 54020 63604 64824 79505 81030 95406 108040 127208 129648 159010 162060 190812 216080 238515 254416 318020 324120 381624 477030 588337 636040 648240 763248 954060 1160773 1176674 1272080 1765011 1908120 2321546 2353348 2941685 3482319 3530022 3816240 4643092 4706696 5803865 5883370 6964638 7060044 8825055 9286184 9413392 11607730 11766740 13929276 14120088 17411595 17650110 18572368 23215460 23533480 27858552 28240176 34823190 35300220 42948601 46430920 47066960 55717104 69646380 70600440 85897202 92861840 128845803 139292760 141200880 171794404 214743005 257691606 278585520 343588808 429486010 515383212 644229015 687177616 858972020 1030766424 1288458030 1717944040 2061532848 2576916060 3435888080 5153832120 10307664240