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29966274 = 237131731
BaseRepresentation
bin111001001001…
…1111111000010
32002101110000000
41302103333002
530132410044
62550140430
7512465142
oct162237702
962343000
1029966274
1115a08118
12a051716
136292830
143da0922
15296dd69
hex1c93fc2

29966274 has 128 divisors (see below), whose sum is σ = 79349760. Its totient is φ = 8398080.

The previous prime is 29966273. The next prime is 29966317. The reversal of 29966274 is 47266992.

Its product of digits (326592) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (29966273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966639 + ... + 966669.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 229966274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29966274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39674880).

29966274 is an abundant number, since it is smaller than the sum of its proper divisors (49383486).

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

29966274 is a wasteful number, since it uses less digits than its factorization.

29966274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 29966274 is about 5474.1459607869. The cubic root of 29966274 is about 310.6067685753.

The spelling of 29966274 in words is "twenty-nine million, nine hundred sixty-six thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 31 34 39 51 54 62 78 81 93 102 117 153 162 186 221 234 243 279 306 351 403 442 459 486 527 558 663 702 729 806 837 918 1053 1054 1209 1326 1377 1458 1581 1674 1989 2106 2187 2418 2511 2754 3159 3162 3627 3978 4131 4374 4743 5022 5967 6318 6851 7254 7533 8262 9477 9486 10881 11934 12393 13702 14229 15066 17901 18954 20553 21762 22599 24786 28431 28458 32643 35802 37179 41106 42687 45198 53703 56862 61659 65286 67797 74358 85374 97929 107406 123318 128061 135594 161109 184977 195858 256122 293787 322218 369954 384183 483327 554931 587574 768366 881361 966654 1109862 1152549 1664793 1762722 2305098 3329586 4994379 9988758 14983137 29966274