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29656380 = 223513193197
BaseRepresentation
bin111000100100…
…0010100111100
32001210200220110
41301020110330
530043001010
62535350020
7510034515
oct161102474
961720813
1029656380
1115816306
129b22310
1361b4770
143d1da0c
15290c120
hex1c4853c

29656380 has 96 divisors (see below), whose sum is σ = 90345024. Its totient is φ = 7225344.

The previous prime is 29656339. The next prime is 29656387. The reversal of 29656380 is 8365692.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29656387) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 150442 + ... + 150638.

It is an arithmetic number, because the mean of its divisors is an integer number (941094).

Almost surely, 229656380 is an apocalyptic number.

29656380 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 29656380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45172512).

29656380 is an abundant number, since it is smaller than the sum of its proper divisors (60688644).

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

29656380 is a wasteful number, since it uses less digits than its factorization.

29656380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 29656380 is about 5445.7671635868. The cubic root of 29656380 is about 309.5323507289.

The spelling of 29656380 in words is "twenty-nine million, six hundred fifty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 193 195 197 260 386 390 394 579 591 772 780 788 965 985 1158 1182 1930 1970 2316 2364 2509 2561 2895 2955 3860 3940 5018 5122 5790 5910 7527 7683 10036 10244 11580 11820 12545 12805 15054 15366 25090 25610 30108 30732 37635 38021 38415 50180 51220 75270 76042 76830 114063 150540 152084 153660 190105 228126 380210 456252 494273 570315 760420 988546 1140630 1482819 1977092 2281260 2471365 2965638 4942730 5931276 7414095 9885460 14828190 29656380