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29982690 = 2335293379
BaseRepresentation
bin111001001011…
…1111111100010
32002102021112000
41302113333202
530133421230
62550344430
7512564043
oct162277742
962367460
1029982690
1115a19491
12a05b116
13629a14a
143da68ca
152973b60
hex1c97fe2

29982690 has 64 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 7947072.

The previous prime is 29982677. The next prime is 29982727. The reversal of 29982690 is 9628992.

It is a super-2 number, since 2×299826902 = 1797923399272200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 78921 + ... + 79299.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 229982690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29982690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

29982690 is an abundant number, since it is smaller than the sum of its proper divisors (50455710).

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

29982690 is a wasteful number, since it uses less digits than its factorization.

29982690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 29982690 is about 5475.6451674666. The cubic root of 29982690 is about 310.6634766589.

The spelling of 29982690 in words is "twenty-nine million, nine hundred eighty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 293 379 586 758 879 1137 1465 1758 1895 2274 2637 2930 3411 3790 4395 5274 5685 6822 7911 8790 10233 11370 13185 15822 17055 20466 26370 34110 39555 51165 79110 102330 111047 222094 333141 555235 666282 999423 1110470 1665705 1998846 2998269 3331410 4997115 5996538 9994230 14991345 29982690