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29715420 = 22357139509
BaseRepresentation
bin111000101011…
…0101111011100
32001220200220010
41301112233130
530101343140
62540523220
7510401610
oct161265734
961820803
1029715420
11158566a9
129b50510
1362055b7
143d37340
15291e880
hex1c56bdc

29715420 has 96 divisors (see below), whose sum is σ = 95961600. Its totient is φ = 6729984.

The previous prime is 29715407. The next prime is 29715431. The reversal of 29715420 is 2451792.

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

It is a congruent number.

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, 58126 + ... + 58634.

It is an arithmetic number, because the mean of its divisors is an integer number (999600).

Almost surely, 229715420 is an apocalyptic number.

29715420 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 29715420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47980800).

29715420 is an abundant number, since it is smaller than the sum of its proper divisors (66246180).

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

29715420 is a wasteful number, since it uses less digits than its factorization.

29715420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 29715420 is about 5451.1851922311. The cubic root of 29715420 is about 309.7376205136.

It can be divided in two parts, 29715 and 420, that added together give a triangular number (30135 = T245).

The spelling of 29715420 in words is "twenty-nine million, seven hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 210 278 417 420 509 556 695 834 973 1018 1390 1527 1668 1946 2036 2085 2545 2780 2919 3054 3563 3892 4170 4865 5090 5838 6108 7126 7635 8340 9730 10180 10689 11676 14252 14595 15270 17815 19460 21378 29190 30540 35630 42756 53445 58380 70751 71260 106890 141502 212253 213780 283004 353755 424506 495257 707510 849012 990514 1061265 1415020 1485771 1981028 2122530 2476285 2971542 4245060 4952570 5943084 7428855 9905140 14857710 29715420