Search a number
-
+
10573992 = 23321113279
BaseRepresentation
bin101000010101…
…100010101000
3201220012210100
4220111202220
510201331432
61014345400
7155606652
oct50254250
921805710
1010573992
115a72440
12365b260
132262c00
1415936d2
15ddd07c
hexa158a8

10573992 has 144 divisors (see below), whose sum is σ = 34257600. Its totient is φ = 2920320.

The previous prime is 10573987. The next prime is 10574027. The reversal of 10573992 is 29937501.

It is a super-2 number, since 2×105739922 = 223618613632128, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133809 + ... + 133887.

It is an arithmetic number, because the mean of its divisors is an integer number (237900).

Almost surely, 210573992 is an apocalyptic number.

10573992 is a gapful number since it is divisible by the number (12) 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 10573992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128800).

10573992 is an abundant number, since it is smaller than the sum of its proper divisors (23683608).

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

10573992 is a wasteful number, since it uses less digits than its factorization.

10573992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 10573992 is about 3251.7675193654. The cubic root of 10573992 is about 219.4891175811.

The spelling of 10573992 in words is "ten million, five hundred seventy-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 79 88 99 104 117 132 143 156 158 169 198 234 237 264 286 312 316 338 396 429 468 474 507 572 632 676 711 792 858 869 936 948 1014 1027 1144 1287 1352 1422 1521 1716 1738 1859 1896 2028 2054 2574 2607 2844 3042 3081 3432 3476 3718 4056 4108 5148 5214 5577 5688 6084 6162 6952 7436 7821 8216 9243 10296 10428 11154 11297 12168 12324 13351 14872 15642 16731 18486 20856 22308 22594 24648 26702 31284 33462 33891 36972 40053 44616 45188 53404 62568 66924 67782 73944 80106 90376 101673 106808 120159 133848 135564 146861 160212 203346 240318 271128 293722 320424 406692 440583 480636 587444 813384 881166 961272 1174888 1321749 1762332 2643498 3524664 5286996 10573992