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10154040 = 23351323283
BaseRepresentation
bin100110101111…
…000000111000
3201002212201120
4212233000320
510044412130
61001345240
7152210421
oct46570070
921085646
1010154040
115805976
123498220
132146a10
1414c4648
15d58910
hex9af038

10154040 has 128 divisors (see below), whose sum is σ = 34352640. Its totient is φ = 2382336.

The previous prime is 10153993. The next prime is 10154047. The reversal of 10154040 is 4045101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10154047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35739 + ... + 36021.

It is an arithmetic number, because the mean of its divisors is an integer number (268380).

Almost surely, 210154040 is an apocalyptic number.

10154040 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 10154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176320).

10154040 is an abundant number, since it is smaller than the sum of its proper divisors (24198600).

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

10154040 is a wasteful number, since it uses less digits than its factorization.

10154040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10154040 is about 3186.5404438042. The cubic root of 10154040 is about 216.5440673933.

Adding to 10154040 its reverse (4045101), we get a palindrome (14199141).

The spelling of 10154040 in words is "ten million, one hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 283 299 312 345 390 460 520 552 566 598 690 780 849 897 920 1132 1196 1380 1415 1495 1560 1698 1794 2264 2392 2760 2830 2990 3396 3588 3679 4245 4485 5660 5980 6509 6792 7176 7358 8490 8970 11037 11320 11960 13018 14716 16980 17940 18395 19527 22074 26036 29432 32545 33960 35880 36790 39054 44148 52072 55185 65090 73580 78108 84617 88296 97635 110370 130180 147160 156216 169234 195270 220740 253851 260360 338468 390540 423085 441480 507702 676936 781080 846170 1015404 1269255 1692340 2030808 2538510 3384680 5077020 10154040