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29313240 = 23351153419
BaseRepresentation
bin110111111010…
…0100011011000
32001011021012120
41233310203120
530001010430
62524141240
7504105225
oct157644330
961137176
1029313240
1115601520
129997820
1360c4518
143c7094c
152890610
hex1bf48d8

29313240 has 128 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 6955520.

The previous prime is 29313233. The next prime is 29313241. The reversal of 29313240 is 4231392.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 29313240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29313241) 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, 69751 + ... + 70169.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 229313240 is an apocalyptic number.

29313240 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 29313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

29313240 is an abundant number, since it is smaller than the sum of its proper divisors (68664360).

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

29313240 is a wasteful number, since it uses less digits than its factorization.

29313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 29313240 is about 5414.1702965459. The cubic root of 29313240 is about 308.3338988708. Note that the first 3 decimals are identical.

The spelling of 29313240 in words is "twenty-nine million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 419 424 440 530 583 636 660 795 838 1060 1166 1257 1272 1320 1590 1676 1749 2095 2120 2332 2514 2915 3180 3352 3498 4190 4609 4664 5028 5830 6285 6360 6996 8380 8745 9218 10056 11660 12570 13827 13992 16760 17490 18436 22207 23045 23320 25140 27654 34980 36872 44414 46090 50280 55308 66621 69135 69960 88828 92180 110616 111035 133242 138270 177656 184360 222070 244277 266484 276540 333105 444140 488554 532968 553080 666210 732831 888280 977108 1221385 1332420 1465662 1954216 2442770 2664840 2931324 3664155 4885540 5862648 7328310 9771080 14656620 29313240