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13034952 = 2333737233
BaseRepresentation
bin110001101110…
…010111001000
3220112020121000
4301232113020
511314104302
61143215000
7215536530
oct61562710
926466530
1013034952
1173a3397
124447460
1329150b8
141a344c0
15122731c
hexc6e5c8

13034952 has 128 divisors (see below), whose sum is σ = 42681600. Its totient is φ = 3608064.

The previous prime is 13034941. The next prime is 13034963. The reversal of 13034952 is 25943031.

13034952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13034941) and next prime (13034963).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 55828 + ... + 56060.

It is an arithmetic number, because the mean of its divisors is an integer number (333450).

Almost surely, 213034952 is an apocalyptic number.

13034952 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 13034952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340800).

13034952 is an abundant number, since it is smaller than the sum of its proper divisors (29646648).

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

13034952 is a wasteful number, since it uses less digits than its factorization.

13034952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 13034952 is about 3610.3949922412. The cubic root of 13034952 is about 235.3440080188.

Adding to 13034952 its reverse (25943031), we get a palindrome (38977983).

The spelling of 13034952 in words is "thirteen million, thirty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 233 252 259 296 333 378 444 466 504 518 666 699 756 777 888 932 999 1036 1332 1398 1512 1554 1631 1864 1998 2072 2097 2331 2664 2796 3108 3262 3996 4194 4662 4893 5592 6216 6291 6524 6993 7992 8388 8621 9324 9786 12582 13048 13986 14679 16776 17242 18648 19572 25164 25863 27972 29358 34484 39144 44037 50328 51726 55944 58716 60347 68968 77589 88074 103452 117432 120694 155178 176148 181041 206904 232767 241388 310356 352296 362082 465534 482776 543123 620712 724164 931068 1086246 1448328 1629369 1862136 2172492 3258738 4344984 6517476 13034952