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10199124 = 223213193137
BaseRepresentation
bin100110111010…
…000001010100
3201012011120100
4212322001110
510102332444
61002334100
7152456025
oct46720124
921164510
1010199124
115836831
1234ba330
1321613b0
1414d6c4c
15d66e69
hex9ba054

10199124 has 144 divisors (see below), whose sum is σ = 30983680. Its totient is φ = 2799360.

The previous prime is 10199113. The next prime is 10199129. The reversal of 10199124 is 42199101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10199129) 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, 275634 + ... + 275670.

Almost surely, 210199124 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 10199124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491840).

10199124 is an abundant number, since it is smaller than the sum of its proper divisors (20784556).

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

10199124 is a wasteful number, since it uses less digits than its factorization.

10199124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 10199124 is about 3193.6067384698. The cubic root of 10199124 is about 216.8640799037.

It can be divided in two parts, 101 and 99124, that added together give a square (99225 = 3152).

The spelling of 10199124 in words is "ten million, one hundred ninety-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 31 36 37 38 39 52 57 62 74 76 78 93 111 114 117 124 148 156 171 186 222 228 234 247 279 333 342 372 403 444 468 481 494 558 589 666 684 703 741 806 962 988 1116 1147 1178 1209 1332 1406 1443 1482 1612 1767 1924 2109 2223 2294 2356 2418 2812 2886 2964 3441 3534 3627 4218 4329 4446 4588 4836 5301 5772 6327 6882 7068 7254 7657 8436 8658 8892 9139 10323 10602 12654 13764 14508 14911 15314 17316 18278 20646 21204 21793 22971 25308 27417 29822 30628 36556 41292 43586 44733 45942 54834 59644 65379 68913 82251 87172 89466 91884 109668 130758 134199 137826 164502 178932 196137 261516 268398 275652 283309 329004 392274 536796 566618 784548 849927 1133236 1699854 2549781 3399708 5099562 10199124