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29931330 = 23511136977
BaseRepresentation
bin111001000101…
…1011101000010
32002022200001210
41302023131002
530130300310
62545310550
7512261232
oct162133502
962280053
1029931330
1115993940
12a035456
13627c960
143d91cc2
152963820
hex1c8b742

29931330 has 64 divisors (see below), whose sum is σ = 84405888. Its totient is φ = 6696960.

The previous prime is 29931301. The next prime is 29931331. The reversal of 29931330 is 3313992.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (29931331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802 + ... + 7778.

It is an arithmetic number, because the mean of its divisors is an integer number (1318842).

Almost surely, 229931330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29931330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42202944).

29931330 is an abundant number, since it is smaller than the sum of its proper divisors (54474558).

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

29931330 is a wasteful number, since it uses less digits than its factorization.

29931330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 29931330 is about 5470.9532990147. The cubic root of 29931330 is about 310.4859876313.

The spelling of 29931330 in words is "twenty-nine million, nine hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 6977 13954 20931 34885 41862 69770 76747 90701 104655 153494 181402 209310 230241 272103 383735 453505 460482 544206 767470 907010 997711 1151205 1360515 1995422 2302410 2721030 2993133 4988555 5986266 9977110 14965665 29931330