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29470140 = 223257191231
BaseRepresentation
bin111000001101…
…0110110111100
32001110020102200
41300122312330
530021021030
62531351500
7505330530
oct160326674
961406380
1029470140
11156a9397
129a52590
13614aa6b
143cb1bc0
1528c1d60
hex1c1adbc

29470140 has 144 divisors (see below), whose sum is σ = 107627520. Its totient is φ = 6376320.

The previous prime is 29470127. The next prime is 29470141. The reversal of 29470140 is 4107492.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29470141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23325 + ... + 24555.

Almost surely, 229470140 is an apocalyptic number.

29470140 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 29470140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53813760).

29470140 is an abundant number, since it is smaller than the sum of its proper divisors (78157380).

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

29470140 is a wasteful number, since it uses less digits than its factorization.

29470140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 29470140 is about 5428.6407138436. The cubic root of 29470140 is about 308.8830424241.

The spelling of 29470140 in words is "twenty-nine million, four hundred seventy thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1231 1260 1330 1596 1710 1995 2394 2462 2660 3420 3693 3990 4788 4924 5985 6155 7386 7980 8617 11079 11970 12310 14772 17234 18465 22158 23389 23940 24620 25851 34468 36930 43085 44316 46778 51702 55395 70167 73860 77553 86170 93556 103404 110790 116945 129255 140334 155106 163723 172340 210501 221580 233890 258510 280668 310212 327446 350835 387765 421002 467780 491169 517020 654892 701670 775530 818615 842004 982338 1052505 1403340 1473507 1551060 1637230 1964676 2105010 2455845 2947014 3274460 4210020 4911690 5894028 7367535 9823380 14735070 29470140