Search a number
-
+
129202992 = 24331773241
BaseRepresentation
bin1111011001101…
…11101100110000
3100000010012012000
413230313230300
5231033443432
620453134000
73126131052
oct754675460
9300105160
10129202992
1166a28136
123732a300
13209c9a99
14132338d2
15b52257c
hex7b37b30

129202992 has 160 divisors (see below), whose sum is σ = 399706560. Its totient is φ = 39813120.

The previous prime is 129202987. The next prime is 129203017. The reversal of 129202992 is 299202921.

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 31 ways as a sum of consecutive naturals, for example, 535992 + ... + 536232.

It is an arithmetic number, because the mean of its divisors is an integer number (2498166).

Almost surely, 2129202992 is an apocalyptic number.

129202992 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 129202992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199853280).

129202992 is an abundant number, since it is smaller than the sum of its proper divisors (270503568).

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

129202992 is a wasteful number, since it uses less digits than its factorization.

129202992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 129202992 is about 11366.7494034134. The cubic root of 129202992 is about 505.5423275495.

The spelling of 129202992 in words is "one hundred twenty-nine million, two hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 73 102 108 136 144 146 153 204 216 219 241 272 292 306 408 432 438 459 482 584 612 657 723 816 876 918 964 1168 1224 1241 1314 1446 1752 1836 1928 1971 2169 2448 2482 2628 2892 3504 3672 3723 3856 3942 4097 4338 4964 5256 5784 6507 7344 7446 7884 8194 8676 9928 10512 11169 11568 12291 13014 14892 15768 16388 17352 17593 19856 22338 24582 26028 29784 31536 32776 33507 34704 35186 36873 44676 49164 52056 52779 59568 65552 67014 70372 73746 89352 98328 104112 105558 110619 134028 140744 147492 158337 178704 196656 211116 221238 268056 281488 294984 299081 316674 422232 442476 475011 536112 589968 598162 633348 844464 884952 897243 950022 1196324 1266696 1769904 1794486 1900044 2392648 2533392 2691729 3588972 3800088 4785296 5383458 7177944 7600176 8075187 10766916 14355888 16150374 21533832 32300748 43067664 64601496 129202992