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29404980 = 223251114851
BaseRepresentation
bin111000000101…
…0111100110100
32001022221001100
41300022330310
530011424410
62530130100
7504636543
oct160127464
961287040
1029404980
1115664440
129a20930
1361271c7
143c9615a
1528ac8c0
hex1c0af34

29404980 has 72 divisors (see below), whose sum is σ = 97310304. Its totient is φ = 7128000.

The previous prime is 29404961. The next prime is 29404987. The reversal of 29404980 is 8940492.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29404987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5446 + ... + 9405.

It is an arithmetic number, because the mean of its divisors is an integer number (1351532).

Almost surely, 229404980 is an apocalyptic number.

29404980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29404980 is an abundant number, since it is smaller than the sum of its proper divisors (67905324).

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

29404980 is a wasteful number, since it uses less digits than its factorization.

29404980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14877 (or 14872 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29404980 is about 5422.6358904134. The cubic root of 29404980 is about 308.6552223199.

The spelling of 29404980 in words is "twenty-nine million, four hundred four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 14851 29702 44553 59404 74255 89106 133659 148510 163361 178212 222765 267318 297020 326722 445530 490083 534636 653444 668295 816805 891060 980166 1336590 1470249 1633610 1960332 2450415 2673180 2940498 3267220 4900830 5880996 7351245 9801660 14702490 29404980