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29061040 = 2454759131
BaseRepresentation
bin110111011011…
…0111110110000
32000200110020211
41232312332300
524414423130
62514513504
7502005031
oct156667660
960613224
1029061040
1115449a98
129895894
1360367a8
143c06a88
152840a2a
hex1bb6fb0

29061040 has 80 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 11098880.

The previous prime is 29060963. The next prime is 29061047. The reversal of 29061040 is 4016092.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (29061047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221775 + ... + 221905.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 229061040 is an apocalyptic number.

29061040 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 29061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

29061040 is an abundant number, since it is smaller than the sum of its proper divisors (41648720).

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

29061040 is a wasteful number, since it uses less digits than its factorization.

29061040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 29061040 is about 5390.8292497537. The cubic root of 29061040 is about 307.4470880823.

The spelling of 29061040 in words is "twenty-nine million, sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 59 80 94 118 131 188 235 236 262 295 376 470 472 524 590 655 752 940 944 1048 1180 1310 1880 2096 2360 2620 2773 3760 4720 5240 5546 6157 7729 10480 11092 12314 13865 15458 22184 24628 27730 30785 30916 38645 44368 49256 55460 61570 61832 77290 98512 110920 123140 123664 154580 221840 246280 309160 363263 492560 618320 726526 1453052 1816315 2906104 3632630 5812208 7265260 14530520 29061040