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29939868 = 2234743307
BaseRepresentation
bin111001000110…
…1100010011100
32002100002210000
41302031202130
530131033433
62545414300
7512325150
oct162154234
962302700
1029939868
111599a2a2
12a03a390
1362837ca
143d95060
152966113
hex1c8d89c

29939868 has 120 divisors (see below), whose sum is σ = 91828352. Its totient is φ = 8328096.

The previous prime is 29939857. The next prime is 29939891. The reversal of 29939868 is 86893992.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97371 + ... + 97677.

Almost surely, 229939868 is an apocalyptic number.

29939868 is a gapful number since it is divisible by the number (28) 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 29939868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45914176).

29939868 is an abundant number, since it is smaller than the sum of its proper divisors (61888484).

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

29939868 is a wasteful number, since it uses less digits than its factorization.

29939868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 29939868 is about 5471.7335461442. The cubic root of 29939868 is about 310.5155071720.

The spelling of 29939868 in words is "twenty-nine million, nine hundred thirty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 81 84 86 108 126 129 162 172 189 252 258 301 307 324 378 387 516 567 602 614 756 774 903 921 1134 1161 1204 1228 1548 1806 1842 2149 2268 2322 2709 2763 3483 3612 3684 4298 4644 5418 5526 6447 6966 8127 8289 8596 10836 11052 12894 13201 13932 16254 16578 19341 24381 24867 25788 26402 32508 33156 38682 39603 48762 49734 52804 58023 77364 79206 92407 97524 99468 116046 118809 158412 174069 184814 232092 237618 277221 348138 356427 369628 475236 554442 696276 712854 831663 1069281 1108884 1425708 1663326 2138562 2494989 3326652 4277124 4989978 7484967 9979956 14969934 29939868