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10266612240 = 2435311678263
BaseRepresentation
bin10011000111111000…
…00001001000010000
3222111111102221100210
421203330001020100
5132011223042430
64414425044120
7512262523053
oct114374011020
928444387323
1010266612240
114399264805
121ba6326640
13c77cc82b1
146d5724a9a
154014c42b0
hex263f01210

10266612240 has 160 divisors (see below), whose sum is σ = 33053884416. Its totient is φ = 2633264640.

The previous prime is 10266612233. The next prime is 10266612311. The reversal of 10266612240 is 4221666201.

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 = 10266612198 and 10266612207.

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, 1238349 + ... + 1246611.

Almost surely, 210266612240 is an apocalyptic number.

10266612240 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 10266612240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16526942208).

10266612240 is an abundant number, since it is smaller than the sum of its proper divisors (22787272176).

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

10266612240 is a wasteful number, since it uses less digits than its factorization.

10266612240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8477 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10266612240 in words is "ten billion, two hundred sixty-six million, six hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 167 186 240 248 310 334 372 465 496 501 620 668 744 835 930 1002 1240 1336 1488 1670 1860 2004 2480 2505 2672 3340 3720 4008 5010 5177 6680 7440 8016 8263 10020 10354 13360 15531 16526 20040 20708 24789 25885 31062 33052 40080 41315 41416 49578 51770 62124 66104 77655 82630 82832 99156 103540 123945 124248 132208 155310 165260 198312 207080 247890 248496 256153 310620 330520 396624 414160 495780 512306 621240 661040 768459 991560 1024612 1242480 1280765 1379921 1536918 1983120 2049224 2561530 2759842 3073836 3842295 4098448 4139763 5123060 5519684 6147672 6899605 7684590 8279526 10246120 11039368 12295344 13799210 15369180 16559052 20492240 20698815 22078736 27598420 30738360 33118104 41397630 42777551 55196840 61476720 66236208 82795260 85555102 110393680 128332653 165590520 171110204 213887755 256665306 331181040 342220408 427775510 513330612 641663265 684440816 855551020 1026661224 1283326530 1711102040 2053322448 2566653060 3422204080 5133306120 10266612240