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421662720 = 212356863
BaseRepresentation
bin11001001000100…
…001000000000000
31002101102200111210
4121020201000000
51330421201340
6105501410120
713310034243
oct3110410000
91071380453
10421662720
111a7021496
12b9269940
136948778b
144000325a
1527042180
hex19221000

421662720 has 104 divisors (see below), whose sum is σ = 1349352576. Its totient is φ = 112427008.

The previous prime is 421662719. The next prime is 421662743. The reversal of 421662720 is 27266124.

It is a super-3 number, since 3×4216627203 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58009 + ... + 64871.

It is an arithmetic number, because the mean of its divisors is an integer number (12974544).

Almost surely, 2421662720 is an apocalyptic number.

421662720 is a gapful number since it is divisible by the number (40) 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 421662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674676288).

421662720 is an abundant number, since it is smaller than the sum of its proper divisors (927689856).

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

421662720 is an equidigital number, since it uses as much as digits as its factorization.

421662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6895 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 421662720 is about 20534.4276764657. The cubic root of 421662720 is about 749.8741833392.

The spelling of 421662720 in words is "four hundred twenty-one million, six hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 6863 7680 10240 12288 13726 15360 20480 20589 27452 30720 34315 41178 54904 61440 68630 82356 102945 109808 137260 164712 205890 219616 274520 329424 411780 439232 549040 658848 823560 878464 1098080 1317696 1647120 1756928 2196160 2635392 3294240 3513856 4392320 5270784 6588480 7027712 8784640 10541568 13176960 14055424 17569280 21083136 26353920 28110848 35138560 42166272 52707840 70277120 84332544 105415680 140554240 210831360 421662720