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10149026940 = 22325137395869
BaseRepresentation
bin10010111001110110…
…11101110001111100
3222012022011222122200
421130323131301330
5131241122330230
64355024511500
7506334206553
oct113473356174
928168158580
1010149026940
114338952178
121b72a7b590
13c598384b0
146c3c76d9a
153e5ee9160
hex25ceddc7c

10149026940 has 144 divisors (see below), whose sum is σ = 33204007200. Its totient is φ = 2494416384.

The previous prime is 10149026929. The next prime is 10149026941. The reversal of 10149026940 is 4962094101.

It is a happy number.

10149026940 is a `hidden beast` number, since 101 + 490 + 2 + 69 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10149026895 and 10149026904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10149026941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1726326 + ... + 1732194.

Almost surely, 210149026940 is an apocalyptic number.

10149026940 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 10149026940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16602003600).

10149026940 is an abundant number, since it is smaller than the sum of its proper divisors (23054980260).

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

10149026940 is a wasteful number, since it uses less digits than its factorization.

10149026940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10149026940 in words is "ten billion, one hundred forty-nine million, twenty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 739 780 1170 1478 2217 2340 2956 3695 4434 5869 6651 7390 8868 9607 11085 11738 13302 14780 17607 19214 22170 23476 26604 28821 29345 33255 35214 38428 44340 48035 52821 57642 58690 66510 70428 76297 86463 88035 96070 105642 115284 117380 133020 144105 152594 172926 176070 192140 211284 228891 264105 288210 305188 345852 352140 381485 432315 457782 528210 576420 686673 762970 864630 915564 1056420 1144455 1373346 1525940 1729260 2288910 2746692 3433365 4337191 4577820 6866730 8674382 13011573 13733460 17348764 21685955 26023146 39034719 43371910 52046292 56383483 65057865 78069438 86743820 112766966 130115730 156138876 169150449 195173595 225533932 260231460 281917415 338300898 390347190 507451347 563834830 676601796 780694380 845752245 1014902694 1127669660 1691504490 2029805388 2537256735 3383008980 5074513470 10149026940