Search a number
-
+
29913520 = 2457213587
BaseRepresentation
bin111001000011…
…1000110110000
32002021202122011
41302013012300
530124213040
62545052304
7512155300
oct162070660
962252564
1029913520
111598151a
12a027094
136274810
143d89600
15295d3ea
hex1c871b0

29913520 has 120 divisors (see below), whose sum is σ = 87275664. Its totient is φ = 9451008.

The previous prime is 29913517. The next prime is 29913563. The reversal of 29913520 is 2531992.

It is a super-3 number, since 3×299135203 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50667 + ... + 51253.

Almost surely, 229913520 is an apocalyptic number.

29913520 is a gapful number since it is divisible by the number (20) 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 29913520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43637832).

29913520 is an abundant number, since it is smaller than the sum of its proper divisors (57362144).

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

29913520 is a wasteful number, since it uses less digits than its factorization.

29913520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 29913520 is about 5469.3253697325. The cubic root of 29913520 is about 310.4243927229.

The spelling of 29913520 in words is "twenty-nine million, nine hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 364 392 455 490 520 560 587 637 728 784 910 980 1040 1174 1274 1456 1820 1960 2348 2548 2935 3185 3640 3920 4109 4696 5096 5870 6370 7280 7631 8218 9392 10192 11740 12740 15262 16436 20545 23480 25480 28763 30524 32872 38155 41090 46960 50960 53417 57526 61048 65744 76310 82180 106834 115052 122096 143815 152620 164360 213668 230104 267085 287630 305240 328720 373919 427336 460208 534170 575260 610480 747838 854672 1068340 1150520 1495676 1869595 2136680 2301040 2991352 3739190 4273360 5982704 7478380 14956760 29913520