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29952060 = 2235717989
BaseRepresentation
bin111001001000…
…0100000111100
32002100201111120
41302100200330
530131431220
62545550540
7512405535
oct162204074
962321446
1029952060
11159a8476
12a045450
136289218
143d9968c
152969a40
hex1c9083c

29952060 has 96 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 7687680.

The previous prime is 29952059. The next prime is 29952067. The reversal of 29952060 is 6025992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29952067) 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, 336496 + ... + 336584.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 229952060 is an apocalyptic number.

29952060 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 29952060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

29952060 is an abundant number, since it is smaller than the sum of its proper divisors (57139140).

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

29952060 is a wasteful number, since it uses less digits than its factorization.

29952060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 29952060 is about 5472.8475220857. The cubic root of 29952060 is about 310.5576504362.

The spelling of 29952060 in words is "twenty-nine million, nine hundred fifty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 79 89 142 158 178 213 237 267 284 316 355 356 395 426 445 474 534 710 790 852 890 948 1065 1068 1185 1335 1420 1580 1780 2130 2370 2670 4260 4740 5340 5609 6319 7031 11218 12638 14062 16827 18957 21093 22436 25276 28045 28124 31595 33654 35155 37914 42186 56090 63190 67308 70310 75828 84135 84372 94785 105465 112180 126380 140620 168270 189570 210930 336540 379140 421860 499201 998402 1497603 1996804 2496005 2995206 4992010 5990412 7488015 9984020 14976030 29952060