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29760390 = 232511231307
BaseRepresentation
bin111000110000…
…1101110000110
32001222222120200
41301201232012
530104313030
62541511330
7510646662
oct161415606
961888520
1029760390
1115887470
129b72546
13621cbca
143d498a2
15292cd60
hex1c61b86

29760390 has 96 divisors (see below), whose sum is σ = 88148736. Its totient is φ = 6895680.

The previous prime is 29760349. The next prime is 29760457. The reversal of 29760390 is 9306792.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22117 + ... + 23423.

It is an arithmetic number, because the mean of its divisors is an integer number (918216).

Almost surely, 229760390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29760390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44074368).

29760390 is an abundant number, since it is smaller than the sum of its proper divisors (58388346).

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

29760390 is a wasteful number, since it uses less digits than its factorization.

29760390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 29760390 is about 5455.3084239115. The cubic root of 29760390 is about 309.8937894907.

The spelling of 29760390 in words is "twenty-nine million, seven hundred sixty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1307 1518 2070 2277 2530 2614 3795 3921 4554 6535 7590 7842 11385 11763 13070 14377 19605 22770 23526 28754 30061 39210 43131 58815 60122 71885 86262 90183 117630 129393 143770 150305 180366 215655 258786 270549 300610 330671 431310 450915 541098 646965 661342 901830 992013 1293930 1352745 1653355 1984026 2705490 2976039 3306710 4960065 5952078 9920130 14880195 29760390