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421152120 = 233257116477
BaseRepresentation
bin11001000110100…
…100010101111000
31002100110202002200
4121012210111320
51330303331440
6105442430200
713302506514
oct3106442570
91070422080
10421152120
111a6802904
12b9062360
136933924c
143dd0d144
1526e90c30
hex191a4578

421152120 has 96 divisors (see below), whose sum is σ = 1388106720. Its totient is φ = 110718720.

The previous prime is 421152097. The next prime is 421152131. The reversal of 421152120 is 21251124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 421152093 and 421152102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17322 + ... + 33798.

It is an arithmetic number, because the mean of its divisors is an integer number (14459445).

Almost surely, 2421152120 is an apocalyptic number.

421152120 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 421152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694053360).

421152120 is an abundant number, since it is smaller than the sum of its proper divisors (966954600).

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

421152120 is a wasteful number, since it uses less digits than its factorization.

421152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16565 (or 16558 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 421152120 is about 20521.9911314668. The cubic root of 421152120 is about 749.5713817619.

The spelling of 421152120 in words is "four hundred twenty-one million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 16477 25560 32954 49431 65908 82385 98862 131816 148293 164770 197724 247155 296586 329540 395448 494310 593172 659080 741465 988620 1169867 1186344 1482930 1977240 2339734 2965860 3509601 4679468 5849335 5931720 7019202 9358936 10528803 11698670 14038404 17548005 21057606 23397340 28076808 35096010 42115212 46794680 52644015 70192020 84230424 105288030 140384040 210576060 421152120