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421171680 = 25354121401
BaseRepresentation
bin11001000110101…
…001000111100000
31002100111201221010
4121012221013200
51330304443210
6105443100520
713302620526
oct3106510740
91070451833
10421171680
111a6816576
12b9071740
1369345117
143dd16316
1526e96920
hex191a91e0

421171680 has 96 divisors (see below), whose sum is σ = 1359112608. Its totient is φ = 109568000.

The previous prime is 421171649. The next prime is 421171691. The reversal of 421171680 is 86171124.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8980 + ... + 30380.

It is an arithmetic number, because the mean of its divisors is an integer number (14157423).

Almost surely, 2421171680 is an apocalyptic number.

421171680 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 421171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679556304).

421171680 is an abundant number, since it is smaller than the sum of its proper divisors (937940928).

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

421171680 is a wasteful number, since it uses less digits than its factorization.

421171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21460 (or 21452 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 421171680 is about 20522.4676878781. The cubic root of 421171680 is about 749.5829859531.

The spelling of 421171680 in words is "four hundred twenty-one million, one hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 21401 42802 64203 85604 107005 128406 171208 214010 256812 321015 342416 428020 513624 642030 684832 856040 877441 1027248 1284060 1712080 1754882 2054496 2568120 2632323 3424160 3509764 4387205 5136240 5264646 7019528 8774410 10272480 10529292 13161615 14039056 17548820 21058584 26323230 28078112 35097640 42117168 52646460 70195280 84234336 105292920 140390560 210585840 421171680