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29918040 = 2335249317
BaseRepresentation
bin111001000100…
…0001101011000
32002021222211120
41302020031120
530124334130
62545125240
7512204415
oct162101530
962258746
1029918040
1115984959
12a029820
1362768a9
143d8b10c
15295e910
hex1c88358

29918040 has 32 divisors (see below), whose sum is σ = 89754480. Its totient is φ = 7978112.

The previous prime is 29918039. The next prime is 29918059. The reversal of 29918040 is 4081992.

It is a junction number, because it is equal to n+sod(n) for n = 29917992 and 29918010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124539 + ... + 124778.

Almost surely, 229918040 is an apocalyptic number.

29918040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29918040 is an abundant number, since it is smaller than the sum of its proper divisors (59836440).

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

29918040 is a wasteful number, since it uses less digits than its factorization.

29918040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249331 (or 249327 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 29918040 is about 5469.7385677928. The cubic root of 29918040 is about 310.4400272096.

The spelling of 29918040 in words is "twenty-nine million, nine hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 249317 498634 747951 997268 1246585 1495902 1994536 2493170 2991804 3739755 4986340 5983608 7479510 9972680 14959020 29918040